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Finding the Fourth Proportional to 1,549.95, 2,322.49 and 817.31

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Solution

The fourth proportional to 1,549.95, 2,322.49 and 817.31 is: 1,224.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.95 : 2,322.49 = 817.31 : x
  2. Step 2: Convert to fraction form
    1,549.95/2,322.49 = 817.31/x
  3. Step 3: Cross multiply
    1,549.95x = 2,322.49 × 817.31
  4. Step 4: Simplify right side
    1,549.95x = 1,898,194.30
  5. Step 5: Solve for x
    x = 1,898,194.30/1,549.95
  6. Step 6: Final answer
    x = 1,224.68

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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.