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Finding the Fourth Proportional to 572.62, 857.39 and 471.13

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Solution

The fourth proportional to 572.62, 857.39 and 471.13 is: 705.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    572.62 : 857.39 = 471.13 : x
  2. Step 2: Convert to fraction form
    572.62/857.39 = 471.13/x
  3. Step 3: Cross multiply
    572.62x = 857.39 × 471.13
  4. Step 4: Simplify right side
    572.62x = 403,941.91
  5. Step 5: Solve for x
    x = 403,941.91/572.62
  6. Step 6: Final answer
    x = 705.43

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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.