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Finding the Fourth Proportional to 1,254.49, 1,882.04 and 432.76

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Solution

The fourth proportional to 1,254.49, 1,882.04 and 432.76 is: 649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.49 : 1,882.04 = 432.76 : x
  2. Step 2: Convert to fraction form
    1,254.49/1,882.04 = 432.76/x
  3. Step 3: Cross multiply
    1,254.49x = 1,882.04 × 432.76
  4. Step 4: Simplify right side
    1,254.49x = 814,471.63
  5. Step 5: Solve for x
    x = 814,471.63/1,254.49
  6. Step 6: Final answer
    x = 649.25

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.