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Finding the Fourth Proportional to 951.87, 1,313.55 and 537.87

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Solution

The fourth proportional to 951.87, 1,313.55 and 537.87 is: 742.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.87 : 1,313.55 = 537.87 : x
  2. Step 2: Convert to fraction form
    951.87/1,313.55 = 537.87/x
  3. Step 3: Cross multiply
    951.87x = 1,313.55 × 537.87
  4. Step 4: Simplify right side
    951.87x = 706,519.14
  5. Step 5: Solve for x
    x = 706,519.14/951.87
  6. Step 6: Final answer
    x = 742.24

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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.