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Finding the Fourth Proportional to 674.86, 1,012.29 and 457.90

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Solution

The fourth proportional to 674.86, 1,012.29 and 457.90 is: 686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.86 : 1,012.29 = 457.90 : x
  2. Step 2: Convert to fraction form
    674.86/1,012.29 = 457.90/x
  3. Step 3: Cross multiply
    674.86x = 1,012.29 × 457.90
  4. Step 4: Simplify right side
    674.86x = 463,527.59
  5. Step 5: Solve for x
    x = 463,527.59/674.86
  6. Step 6: Final answer
    x = 686.85

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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.