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Finding the Fourth Proportional to 532.08, 732.80 and 458.40

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Solution

The fourth proportional to 532.08, 732.80 and 458.40 is: 631.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.08 : 732.80 = 458.40 : x
  2. Step 2: Convert to fraction form
    532.08/732.80 = 458.40/x
  3. Step 3: Cross multiply
    532.08x = 732.80 × 458.40
  4. Step 4: Simplify right side
    532.08x = 335,915.52
  5. Step 5: Solve for x
    x = 335,915.52/532.08
  6. Step 6: Final answer
    x = 631.33

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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.