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Finding the Fourth Proportional to 1,344.65, 2,017.80 and 614.25

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Solution

The fourth proportional to 1,344.65, 2,017.80 and 614.25 is: 921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,344.65 : 2,017.80 = 614.25 : x
  2. Step 2: Convert to fraction form
    1,344.65/2,017.80 = 614.25/x
  3. Step 3: Cross multiply
    1,344.65x = 2,017.80 × 614.25
  4. Step 4: Simplify right side
    1,344.65x = 1,239,433.65
  5. Step 5: Solve for x
    x = 1,239,433.65/1,344.65
  6. Step 6: Final answer
    x = 921.76

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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.