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Finding the Fourth Proportional to 698.17, 964.12 and 449.92

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Solution

The fourth proportional to 698.17, 964.12 and 449.92 is: 621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.17 : 964.12 = 449.92 : x
  2. Step 2: Convert to fraction form
    698.17/964.12 = 449.92/x
  3. Step 3: Cross multiply
    698.17x = 964.12 × 449.92
  4. Step 4: Simplify right side
    698.17x = 433,775.02
  5. Step 5: Solve for x
    x = 433,775.02/698.17
  6. Step 6: Final answer
    x = 621.31

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.