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Finding the Fourth Proportional to 521.92, 782.87 and 156.70

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Solution

The fourth proportional to 521.92, 782.87 and 156.70 is: 235.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.92 : 782.87 = 156.70 : x
  2. Step 2: Convert to fraction form
    521.92/782.87 = 156.70/x
  3. Step 3: Cross multiply
    521.92x = 782.87 × 156.70
  4. Step 4: Simplify right side
    521.92x = 122,678.08
  5. Step 5: Solve for x
    x = 122,678.08/521.92
  6. Step 6: Final answer
    x = 235.05

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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.