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Finding the Fourth Proportional to 698.96, 1,046.28 and 455.12

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Solution

The fourth proportional to 698.96, 1,046.28 and 455.12 is: 681.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.96 : 1,046.28 = 455.12 : x
  2. Step 2: Convert to fraction form
    698.96/1,046.28 = 455.12/x
  3. Step 3: Cross multiply
    698.96x = 1,046.28 × 455.12
  4. Step 4: Simplify right side
    698.96x = 476,182.95
  5. Step 5: Solve for x
    x = 476,182.95/698.96
  6. Step 6: Final answer
    x = 681.27

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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.