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Finding the Fourth Proportional to 1,049.44, 1,574.35 and 432.81

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Solution

The fourth proportional to 1,049.44, 1,574.35 and 432.81 is: 649.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.44 : 1,574.35 = 432.81 : x
  2. Step 2: Convert to fraction form
    1,049.44/1,574.35 = 432.81/x
  3. Step 3: Cross multiply
    1,049.44x = 1,574.35 × 432.81
  4. Step 4: Simplify right side
    1,049.44x = 681,386.55
  5. Step 5: Solve for x
    x = 681,386.55/1,049.44
  6. Step 6: Final answer
    x = 649.29

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Double scale
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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.