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Finding the Fourth Proportional to 992.78, 1,370 and 550.66

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Solution

The fourth proportional to 992.78, 1,370 and 550.66 is: 759.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.78 : 1,370 = 550.66 : x
  2. Step 2: Convert to fraction form
    992.78/1,370 = 550.66/x
  3. Step 3: Cross multiply
    992.78x = 1,370 × 550.66
  4. Step 4: Simplify right side
    992.78x = 754,404.20
  5. Step 5: Solve for x
    x = 754,404.20/992.78
  6. Step 6: Final answer
    x = 759.89

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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.