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Finding the Fourth Proportional to 521.22, 781.80 and 315.84

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Solution

The fourth proportional to 521.22, 781.80 and 315.84 is: 473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.22 : 781.80 = 315.84 : x
  2. Step 2: Convert to fraction form
    521.22/781.80 = 315.84/x
  3. Step 3: Cross multiply
    521.22x = 781.80 × 315.84
  4. Step 4: Simplify right side
    521.22x = 246,923.71
  5. Step 5: Solve for x
    x = 246,923.71/521.22
  6. Step 6: Final answer
    x = 473.74

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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.