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Finding the Fourth Proportional to 521.52, 782.54 and 316.60

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Solution

The fourth proportional to 521.52, 782.54 and 316.60 is: 475.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.52 : 782.54 = 316.60 : x
  2. Step 2: Convert to fraction form
    521.52/782.54 = 316.60/x
  3. Step 3: Cross multiply
    521.52x = 782.54 × 316.60
  4. Step 4: Simplify right side
    521.52x = 247,752.16
  5. Step 5: Solve for x
    x = 247,752.16/521.52
  6. Step 6: Final answer
    x = 475.06

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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.