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Finding the Fourth Proportional to 698.24, 1,045.28 and 454.88

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Solution

The fourth proportional to 698.24, 1,045.28 and 454.88 is: 680.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.24 : 1,045.28 = 454.88 : x
  2. Step 2: Convert to fraction form
    698.24/1,045.28 = 454.88/x
  3. Step 3: Cross multiply
    698.24x = 1,045.28 × 454.88
  4. Step 4: Simplify right side
    698.24x = 475,476.97
  5. Step 5: Solve for x
    x = 475,476.97/698.24
  6. Step 6: Final answer
    x = 680.96

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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.