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Finding the Fourth Proportional to 822.38, 1,232.96 and 497.67

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Solution

The fourth proportional to 822.38, 1,232.96 and 497.67 is: 746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.38 : 1,232.96 = 497.67 : x
  2. Step 2: Convert to fraction form
    822.38/1,232.96 = 497.67/x
  3. Step 3: Cross multiply
    822.38x = 1,232.96 × 497.67
  4. Step 4: Simplify right side
    822.38x = 613,607.20
  5. Step 5: Solve for x
    x = 613,607.20/822.38
  6. Step 6: Final answer
    x = 746.14

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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.