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Finding the Fourth Proportional to 521.12, 782.15 and 277.85

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Solution

The fourth proportional to 521.12, 782.15 and 277.85 is: 417.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.12 : 782.15 = 277.85 : x
  2. Step 2: Convert to fraction form
    521.12/782.15 = 277.85/x
  3. Step 3: Cross multiply
    521.12x = 782.15 × 277.85
  4. Step 4: Simplify right side
    521.12x = 217,315.08
  5. Step 5: Solve for x
    x = 217,315.08/521.12
  6. Step 6: Final answer
    x = 417.02

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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.