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Finding the Fourth Proportional to 698.31, 962.13 and 465.03

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Solution

The fourth proportional to 698.31, 962.13 and 465.03 is: 640.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.31 : 962.13 = 465.03 : x
  2. Step 2: Convert to fraction form
    698.31/962.13 = 465.03/x
  3. Step 3: Cross multiply
    698.31x = 962.13 × 465.03
  4. Step 4: Simplify right side
    698.31x = 447,419.31
  5. Step 5: Solve for x
    x = 447,419.31/698.31
  6. Step 6: Final answer
    x = 640.72

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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.