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Finding the Fourth Proportional to 582.29, 802.20 and 471.72

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Solution

The fourth proportional to 582.29, 802.20 and 471.72 is: 649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.29 : 802.20 = 471.72 : x
  2. Step 2: Convert to fraction form
    582.29/802.20 = 471.72/x
  3. Step 3: Cross multiply
    582.29x = 802.20 × 471.72
  4. Step 4: Simplify right side
    582.29x = 378,418.56
  5. Step 5: Solve for x
    x = 378,418.56/582.29
  6. Step 6: Final answer
    x = 649.88

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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.