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Finding the Fourth Proportional to 532.73, 802.58 and 487.64

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Solution

The fourth proportional to 532.73, 802.58 and 487.64 is: 734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.73 : 802.58 = 487.64 : x
  2. Step 2: Convert to fraction form
    532.73/802.58 = 487.64/x
  3. Step 3: Cross multiply
    532.73x = 802.58 × 487.64
  4. Step 4: Simplify right side
    532.73x = 391,370.11
  5. Step 5: Solve for x
    x = 391,370.11/532.73
  6. Step 6: Final answer
    x = 734.65

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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.