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Finding the Fourth Proportional to 724.87, 1,086.35 and 339.31

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Solution

The fourth proportional to 724.87, 1,086.35 and 339.31 is: 508.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.87 : 1,086.35 = 339.31 : x
  2. Step 2: Convert to fraction form
    724.87/1,086.35 = 339.31/x
  3. Step 3: Cross multiply
    724.87x = 1,086.35 × 339.31
  4. Step 4: Simplify right side
    724.87x = 368,607.72
  5. Step 5: Solve for x
    x = 368,607.72/724.87
  6. Step 6: Final answer
    x = 508.52

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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.