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Finding the Fourth Proportional to 678.04, 934.87 and 572.94

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Solution

The fourth proportional to 678.04, 934.87 and 572.94 is: 789.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.04 : 934.87 = 572.94 : x
  2. Step 2: Convert to fraction form
    678.04/934.87 = 572.94/x
  3. Step 3: Cross multiply
    678.04x = 934.87 × 572.94
  4. Step 4: Simplify right side
    678.04x = 535,624.42
  5. Step 5: Solve for x
    x = 535,624.42/678.04
  6. Step 6: Final answer
    x = 789.96

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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.