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Finding the Fourth Proportional to 658.64, 992.96 and 623.36

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Solution

The fourth proportional to 658.64, 992.96 and 623.36 is: 939.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.64 : 992.96 = 623.36 : x
  2. Step 2: Convert to fraction form
    658.64/992.96 = 623.36/x
  3. Step 3: Cross multiply
    658.64x = 992.96 × 623.36
  4. Step 4: Simplify right side
    658.64x = 618,971.55
  5. Step 5: Solve for x
    x = 618,971.55/658.64
  6. Step 6: Final answer
    x = 939.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.