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Finding the Fourth Proportional to 698.40, 962.24 and 476.96

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Solution

The fourth proportional to 698.40, 962.24 and 476.96 is: 657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.40 : 962.24 = 476.96 : x
  2. Step 2: Convert to fraction form
    698.40/962.24 = 476.96/x
  3. Step 3: Cross multiply
    698.40x = 962.24 × 476.96
  4. Step 4: Simplify right side
    698.40x = 458,949.99
  5. Step 5: Solve for x
    x = 458,949.99/698.40
  6. Step 6: Final answer
    x = 657.14

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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.