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Finding the Fourth Proportional to 582.72, 873.24 and 461.22

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Solution

The fourth proportional to 582.72, 873.24 and 461.22 is: 691.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.72 : 873.24 = 461.22 : x
  2. Step 2: Convert to fraction form
    582.72/873.24 = 461.22/x
  3. Step 3: Cross multiply
    582.72x = 873.24 × 461.22
  4. Step 4: Simplify right side
    582.72x = 402,755.75
  5. Step 5: Solve for x
    x = 402,755.75/582.72
  6. Step 6: Final answer
    x = 691.17

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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.