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Finding the Fourth Proportional to 832.22, 1,248.97 and 312.71

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Solution

The fourth proportional to 832.22, 1,248.97 and 312.71 is: 469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.22 : 1,248.97 = 312.71 : x
  2. Step 2: Convert to fraction form
    832.22/1,248.97 = 312.71/x
  3. Step 3: Cross multiply
    832.22x = 1,248.97 × 312.71
  4. Step 4: Simplify right side
    832.22x = 390,565.99
  5. Step 5: Solve for x
    x = 390,565.99/832.22
  6. Step 6: Final answer
    x = 469.30

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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.