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Finding the Fourth Proportional to 758.43, 1,046.64 and 463.86

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Solution

The fourth proportional to 758.43, 1,046.64 and 463.86 is: 640.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    758.43 : 1,046.64 = 463.86 : x
  2. Step 2: Convert to fraction form
    758.43/1,046.64 = 463.86/x
  3. Step 3: Cross multiply
    758.43x = 1,046.64 × 463.86
  4. Step 4: Simplify right side
    758.43x = 485,489.20
  5. Step 5: Solve for x
    x = 485,489.20/758.43
  6. Step 6: Final answer
    x = 640.13

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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.