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Finding the Fourth Proportional to 932.70, 1,396.31 and 623.79

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Solution

The fourth proportional to 932.70, 1,396.31 and 623.79 is: 933.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.70 : 1,396.31 = 623.79 : x
  2. Step 2: Convert to fraction form
    932.70/1,396.31 = 623.79/x
  3. Step 3: Cross multiply
    932.70x = 1,396.31 × 623.79
  4. Step 4: Simplify right side
    932.70x = 871,001.10
  5. Step 5: Solve for x
    x = 871,001.10/932.70
  6. Step 6: Final answer
    x = 933.85

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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.