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Finding the Fourth Proportional to 521.82, 781.70 and 315.77

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Solution

The fourth proportional to 521.82, 781.70 and 315.77 is: 473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.82 : 781.70 = 315.77 : x
  2. Step 2: Convert to fraction form
    521.82/781.70 = 315.77/x
  3. Step 3: Cross multiply
    521.82x = 781.70 × 315.77
  4. Step 4: Simplify right side
    521.82x = 246,831.92
  5. Step 5: Solve for x
    x = 246,831.92/521.82
  6. Step 6: Final answer
    x = 473.02

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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.