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Finding the Fourth Proportional to 933.22, 1,398.28 and 658.75

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Solution

The fourth proportional to 933.22, 1,398.28 and 658.75 is: 987.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.22 : 1,398.28 = 658.75 : x
  2. Step 2: Convert to fraction form
    933.22/1,398.28 = 658.75/x
  3. Step 3: Cross multiply
    933.22x = 1,398.28 × 658.75
  4. Step 4: Simplify right side
    933.22x = 921,115.66
  5. Step 5: Solve for x
    x = 921,115.66/933.22
  6. Step 6: Final answer
    x = 987.03

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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.