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Finding the Fourth Proportional to 678.84, 1,013.33 and 596.82

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Solution

The fourth proportional to 678.84, 1,013.33 and 596.82 is: 890.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.84 : 1,013.33 = 596.82 : x
  2. Step 2: Convert to fraction form
    678.84/1,013.33 = 596.82/x
  3. Step 3: Cross multiply
    678.84x = 1,013.33 × 596.82
  4. Step 4: Simplify right side
    678.84x = 604,775.61
  5. Step 5: Solve for x
    x = 604,775.61/678.84
  6. Step 6: Final answer
    x = 890.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.