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Finding the Fourth Proportional to 1,458.78, 2,188.17 and 432.78

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Solution

The fourth proportional to 1,458.78, 2,188.17 and 432.78 is: 649.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.78 : 2,188.17 = 432.78 : x
  2. Step 2: Convert to fraction form
    1,458.78/2,188.17 = 432.78/x
  3. Step 3: Cross multiply
    1,458.78x = 2,188.17 × 432.78
  4. Step 4: Simplify right side
    1,458.78x = 947,002.76
  5. Step 5: Solve for x
    x = 947,002.76/1,458.78
  6. Step 6: Final answer
    x = 649.17

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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.