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Finding the Fourth Proportional to 532.46, 801.47 and 482.15

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Solution

The fourth proportional to 532.46, 801.47 and 482.15 is: 725.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.46 : 801.47 = 482.15 : x
  2. Step 2: Convert to fraction form
    532.46/801.47 = 482.15/x
  3. Step 3: Cross multiply
    532.46x = 801.47 × 482.15
  4. Step 4: Simplify right side
    532.46x = 386,422.34
  5. Step 5: Solve for x
    x = 386,422.34/532.46
  6. Step 6: Final answer
    x = 725.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.