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Finding the Fourth Proportional to 521.70, 782.01 and 174.78

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Solution

The fourth proportional to 521.70, 782.01 and 174.78 is: 261.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.70 : 782.01 = 174.78 : x
  2. Step 2: Convert to fraction form
    521.70/782.01 = 174.78/x
  3. Step 3: Cross multiply
    521.70x = 782.01 × 174.78
  4. Step 4: Simplify right side
    521.70x = 136,679.71
  5. Step 5: Solve for x
    x = 136,679.71/521.70
  6. Step 6: Final answer
    x = 261.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.