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Finding the Fourth Proportional to 631.71, 950.67 and 522.90

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Solution

The fourth proportional to 631.71, 950.67 and 522.90 is: 786.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    631.71 : 950.67 = 522.90 : x
  2. Step 2: Convert to fraction form
    631.71/950.67 = 522.90/x
  3. Step 3: Cross multiply
    631.71x = 950.67 × 522.90
  4. Step 4: Simplify right side
    631.71x = 497,105.34
  5. Step 5: Solve for x
    x = 497,105.34/631.71
  6. Step 6: Final answer
    x = 786.92

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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.