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Finding the Fourth Proportional to 932.49, 1,397.58 and 816.66

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Solution

The fourth proportional to 932.49, 1,397.58 and 816.66 is: 1,223.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.49 : 1,397.58 = 816.66 : x
  2. Step 2: Convert to fraction form
    932.49/1,397.58 = 816.66/x
  3. Step 3: Cross multiply
    932.49x = 1,397.58 × 816.66
  4. Step 4: Simplify right side
    932.49x = 1,141,347.68
  5. Step 5: Solve for x
    x = 1,141,347.68/932.49
  6. Step 6: Final answer
    x = 1,223.98

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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.