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Finding the Fourth Proportional to 813.92, 1,122.24 and 503.36

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Solution

The fourth proportional to 813.92, 1,122.24 and 503.36 is: 694.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.92 : 1,122.24 = 503.36 : x
  2. Step 2: Convert to fraction form
    813.92/1,122.24 = 503.36/x
  3. Step 3: Cross multiply
    813.92x = 1,122.24 × 503.36
  4. Step 4: Simplify right side
    813.92x = 564,890.73
  5. Step 5: Solve for x
    x = 564,890.73/813.92
  6. Step 6: Final answer
    x = 694.04

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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.