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Finding the Fourth Proportional to 824.68, 1,138.07 and 493.13

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Solution

The fourth proportional to 824.68, 1,138.07 and 493.13 is: 680.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.68 : 1,138.07 = 493.13 : x
  2. Step 2: Convert to fraction form
    824.68/1,138.07 = 493.13/x
  3. Step 3: Cross multiply
    824.68x = 1,138.07 × 493.13
  4. Step 4: Simplify right side
    824.68x = 561,216.46
  5. Step 5: Solve for x
    x = 561,216.46/824.68
  6. Step 6: Final answer
    x = 680.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.