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Finding the Fourth Proportional to 1,549.49, 2,324.57 and 818.90

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Solution

The fourth proportional to 1,549.49, 2,324.57 and 818.90 is: 1,228.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.49 : 2,324.57 = 818.90 : x
  2. Step 2: Convert to fraction form
    1,549.49/2,324.57 = 818.90/x
  3. Step 3: Cross multiply
    1,549.49x = 2,324.57 × 818.90
  4. Step 4: Simplify right side
    1,549.49x = 1,903,574.66
  5. Step 5: Solve for x
    x = 1,903,574.66/1,549.49
  6. Step 6: Final answer
    x = 1,228.52

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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.