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Finding the Fourth Proportional to 532.38, 735.71 and 434.10

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Solution

The fourth proportional to 532.38, 735.71 and 434.10 is: 599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.38 : 735.71 = 434.10 : x
  2. Step 2: Convert to fraction form
    532.38/735.71 = 434.10/x
  3. Step 3: Cross multiply
    532.38x = 735.71 × 434.10
  4. Step 4: Simplify right side
    532.38x = 319,369.54
  5. Step 5: Solve for x
    x = 319,369.54/532.38
  6. Step 6: Final answer
    x = 599.89

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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.