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Finding the Fourth Proportional to 723.64, 1,085.86 and 463.78

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Solution

The fourth proportional to 723.64, 1,085.86 and 463.78 is: 695.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.64 : 1,085.86 = 463.78 : x
  2. Step 2: Convert to fraction form
    723.64/1,085.86 = 463.78/x
  3. Step 3: Cross multiply
    723.64x = 1,085.86 × 463.78
  4. Step 4: Simplify right side
    723.64x = 503,600.15
  5. Step 5: Solve for x
    x = 503,600.15/723.64
  6. Step 6: Final answer
    x = 695.93

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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.