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Finding the Fourth Proportional to 678.79, 937.61 and 596.17

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Solution

The fourth proportional to 678.79, 937.61 and 596.17 is: 823.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.79 : 937.61 = 596.17 : x
  2. Step 2: Convert to fraction form
    678.79/937.61 = 596.17/x
  3. Step 3: Cross multiply
    678.79x = 937.61 × 596.17
  4. Step 4: Simplify right side
    678.79x = 558,974.95
  5. Step 5: Solve for x
    x = 558,974.95/678.79
  6. Step 6: Final answer
    x = 823.49

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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.