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Finding the Fourth Proportional to 698.13, 962.91 and 667.08

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Solution

The fourth proportional to 698.13, 962.91 and 667.08 is: 920.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.13 : 962.91 = 667.08 : x
  2. Step 2: Convert to fraction form
    698.13/962.91 = 667.08/x
  3. Step 3: Cross multiply
    698.13x = 962.91 × 667.08
  4. Step 4: Simplify right side
    698.13x = 642,338.00
  5. Step 5: Solve for x
    x = 642,338.00/698.13
  6. Step 6: Final answer
    x = 920.08

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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.