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Finding the Fourth Proportional to 579.96, 865.72 and 537.13

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Solution

The fourth proportional to 579.96, 865.72 and 537.13 is: 801.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.96 : 865.72 = 537.13 : x
  2. Step 2: Convert to fraction form
    579.96/865.72 = 537.13/x
  3. Step 3: Cross multiply
    579.96x = 865.72 × 537.13
  4. Step 4: Simplify right side
    579.96x = 464,997.17
  5. Step 5: Solve for x
    x = 464,997.17/579.96
  6. Step 6: Final answer
    x = 801.78

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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.