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Finding the Fourth Proportional to 824.20, 1,133.76 and 673.13

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Solution

The fourth proportional to 824.20, 1,133.76 and 673.13 is: 925.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.20 : 1,133.76 = 673.13 : x
  2. Step 2: Convert to fraction form
    824.20/1,133.76 = 673.13/x
  3. Step 3: Cross multiply
    824.20x = 1,133.76 × 673.13
  4. Step 4: Simplify right side
    824.20x = 763,167.87
  5. Step 5: Solve for x
    x = 763,167.87/824.20
  6. Step 6: Final answer
    x = 925.95

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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.