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Finding the Fourth Proportional to 674.19, 1,011.62 and 457.31

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Solution

The fourth proportional to 674.19, 1,011.62 and 457.31 is: 686.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.19 : 1,011.62 = 457.31 : x
  2. Step 2: Convert to fraction form
    674.19/1,011.62 = 457.31/x
  3. Step 3: Cross multiply
    674.19x = 1,011.62 × 457.31
  4. Step 4: Simplify right side
    674.19x = 462,627.61
  5. Step 5: Solve for x
    x = 462,627.61/674.19
  6. Step 6: Final answer
    x = 686.20

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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.