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Finding the Fourth Proportional to 989.78, 1,365.42 and 596.66

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Solution

The fourth proportional to 989.78, 1,365.42 and 596.66 is: 823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    989.78 : 1,365.42 = 596.66 : x
  2. Step 2: Convert to fraction form
    989.78/1,365.42 = 596.66/x
  3. Step 3: Cross multiply
    989.78x = 1,365.42 × 596.66
  4. Step 4: Simplify right side
    989.78x = 814,691.50
  5. Step 5: Solve for x
    x = 814,691.50/989.78
  6. Step 6: Final answer
    x = 823.10

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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.