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Finding the Fourth Proportional to 674.34, 1,009.28 and 476.29

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Solution

The fourth proportional to 674.34, 1,009.28 and 476.29 is: 712.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.34 : 1,009.28 = 476.29 : x
  2. Step 2: Convert to fraction form
    674.34/1,009.28 = 476.29/x
  3. Step 3: Cross multiply
    674.34x = 1,009.28 × 476.29
  4. Step 4: Simplify right side
    674.34x = 480,707.59
  5. Step 5: Solve for x
    x = 480,707.59/674.34
  6. Step 6: Final answer
    x = 712.86

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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.