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Finding the Fourth Proportional to 580.17, 865.99 and 531.47

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Solution

The fourth proportional to 580.17, 865.99 and 531.47 is: 793.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.17 : 865.99 = 531.47 : x
  2. Step 2: Convert to fraction form
    580.17/865.99 = 531.47/x
  3. Step 3: Cross multiply
    580.17x = 865.99 × 531.47
  4. Step 4: Simplify right side
    580.17x = 460,248.54
  5. Step 5: Solve for x
    x = 460,248.54/580.17
  6. Step 6: Final answer
    x = 793.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.