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Finding the Fourth Proportional to 653.52, 902.12 and 432.68

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Solution

The fourth proportional to 653.52, 902.12 and 432.68 is: 597.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.52 : 902.12 = 432.68 : x
  2. Step 2: Convert to fraction form
    653.52/902.12 = 432.68/x
  3. Step 3: Cross multiply
    653.52x = 902.12 × 432.68
  4. Step 4: Simplify right side
    653.52x = 390,329.28
  5. Step 5: Solve for x
    x = 390,329.28/653.52
  6. Step 6: Final answer
    x = 597.27

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.