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Finding the Fourth Proportional to 698.34, 1,045.29 and 372.72

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Solution

The fourth proportional to 698.34, 1,045.29 and 372.72 is: 557.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.34 : 1,045.29 = 372.72 : x
  2. Step 2: Convert to fraction form
    698.34/1,045.29 = 372.72/x
  3. Step 3: Cross multiply
    698.34x = 1,045.29 × 372.72
  4. Step 4: Simplify right side
    698.34x = 389,600.49
  5. Step 5: Solve for x
    x = 389,600.49/698.34
  6. Step 6: Final answer
    x = 557.90

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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.