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Finding the Fourth Proportional to 724.08, 1,085.56 and 358.32

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Solution

The fourth proportional to 724.08, 1,085.56 and 358.32 is: 537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.08 : 1,085.56 = 358.32 : x
  2. Step 2: Convert to fraction form
    724.08/1,085.56 = 358.32/x
  3. Step 3: Cross multiply
    724.08x = 1,085.56 × 358.32
  4. Step 4: Simplify right side
    724.08x = 388,977.86
  5. Step 5: Solve for x
    x = 388,977.86/724.08
  6. Step 6: Final answer
    x = 537.20

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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.