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Finding the Fourth Proportional to 678.61, 938.19 and 596.59

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Solution

The fourth proportional to 678.61, 938.19 and 596.59 is: 824.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.61 : 938.19 = 596.59 : x
  2. Step 2: Convert to fraction form
    678.61/938.19 = 596.59/x
  3. Step 3: Cross multiply
    678.61x = 938.19 × 596.59
  4. Step 4: Simplify right side
    678.61x = 559,714.77
  5. Step 5: Solve for x
    x = 559,714.77/678.61
  6. Step 6: Final answer
    x = 824.80

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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.