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Finding the Fourth Proportional to 824.81, 1,138.70 and 560.67

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Solution

The fourth proportional to 824.81, 1,138.70 and 560.67 is: 774.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.81 : 1,138.70 = 560.67 : x
  2. Step 2: Convert to fraction form
    824.81/1,138.70 = 560.67/x
  3. Step 3: Cross multiply
    824.81x = 1,138.70 × 560.67
  4. Step 4: Simplify right side
    824.81x = 638,434.52
  5. Step 5: Solve for x
    x = 638,434.52/824.81
  6. Step 6: Final answer
    x = 774.04

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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.