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Finding the Fourth Proportional to 711.59, 1,068.64 and 456.71

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Solution

The fourth proportional to 711.59, 1,068.64 and 456.71 is: 685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.59 : 1,068.64 = 456.71 : x
  2. Step 2: Convert to fraction form
    711.59/1,068.64 = 456.71/x
  3. Step 3: Cross multiply
    711.59x = 1,068.64 × 456.71
  4. Step 4: Simplify right side
    711.59x = 488,052.09
  5. Step 5: Solve for x
    x = 488,052.09/711.59
  6. Step 6: Final answer
    x = 685.87

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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.