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Finding the Fourth Proportional to 534.62, 802.17 and 287.66

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Solution

The fourth proportional to 534.62, 802.17 and 287.66 is: 431.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.62 : 802.17 = 287.66 : x
  2. Step 2: Convert to fraction form
    534.62/802.17 = 287.66/x
  3. Step 3: Cross multiply
    534.62x = 802.17 × 287.66
  4. Step 4: Simplify right side
    534.62x = 230,748.21
  5. Step 5: Solve for x
    x = 230,748.21/534.62
  6. Step 6: Final answer
    x = 431.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.