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Finding the Fourth Proportional to 938.59, 1,409.73 and 809.71

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Solution

The fourth proportional to 938.59, 1,409.73 and 809.71 is: 1,216.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.59 : 1,409.73 = 809.71 : x
  2. Step 2: Convert to fraction form
    938.59/1,409.73 = 809.71/x
  3. Step 3: Cross multiply
    938.59x = 1,409.73 × 809.71
  4. Step 4: Simplify right side
    938.59x = 1,141,472.48
  5. Step 5: Solve for x
    x = 1,141,472.48/938.59
  6. Step 6: Final answer
    x = 1,216.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.