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Finding the Fourth Proportional to 582.03, 802.50 and 471.15

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Solution

The fourth proportional to 582.03, 802.50 and 471.15 is: 649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.03 : 802.50 = 471.15 : x
  2. Step 2: Convert to fraction form
    582.03/802.50 = 471.15/x
  3. Step 3: Cross multiply
    582.03x = 802.50 × 471.15
  4. Step 4: Simplify right side
    582.03x = 378,097.88
  5. Step 5: Solve for x
    x = 378,097.88/582.03
  6. Step 6: Final answer
    x = 649.62

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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.