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Finding the Fourth Proportional to 521.70, 778.92 and 469.86

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Solution

The fourth proportional to 521.70, 778.92 and 469.86 is: 701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.70 : 778.92 = 469.86 : x
  2. Step 2: Convert to fraction form
    521.70/778.92 = 469.86/x
  3. Step 3: Cross multiply
    521.70x = 778.92 × 469.86
  4. Step 4: Simplify right side
    521.70x = 365,983.35
  5. Step 5: Solve for x
    x = 365,983.35/521.70
  6. Step 6: Final answer
    x = 701.52

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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.