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Finding the Fourth Proportional to 521.85, 778.76 and 477.70

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Solution

The fourth proportional to 521.85, 778.76 and 477.70 is: 712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.85 : 778.76 = 477.70 : x
  2. Step 2: Convert to fraction form
    521.85/778.76 = 477.70/x
  3. Step 3: Cross multiply
    521.85x = 778.76 × 477.70
  4. Step 4: Simplify right side
    521.85x = 372,013.65
  5. Step 5: Solve for x
    x = 372,013.65/521.85
  6. Step 6: Final answer
    x = 712.87

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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.