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Finding the Fourth Proportional to 824.34, 1,138.15 and 525.76

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Solution

The fourth proportional to 824.34, 1,138.15 and 525.76 is: 725.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.34 : 1,138.15 = 525.76 : x
  2. Step 2: Convert to fraction form
    824.34/1,138.15 = 525.76/x
  3. Step 3: Cross multiply
    824.34x = 1,138.15 × 525.76
  4. Step 4: Simplify right side
    824.34x = 598,391.56
  5. Step 5: Solve for x
    x = 598,391.56/824.34
  6. Step 6: Final answer
    x = 725.90

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1.5x scale

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.