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Finding the Fourth Proportional to 801.73, 1,105.95 and 502.92

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Solution

The fourth proportional to 801.73, 1,105.95 and 502.92 is: 693.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.73 : 1,105.95 = 502.92 : x
  2. Step 2: Convert to fraction form
    801.73/1,105.95 = 502.92/x
  3. Step 3: Cross multiply
    801.73x = 1,105.95 × 502.92
  4. Step 4: Simplify right side
    801.73x = 556,204.37
  5. Step 5: Solve for x
    x = 556,204.37/801.73
  6. Step 6: Final answer
    x = 693.76

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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.