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Finding the Fourth Proportional to 1,144.75, 1,717.13 and 460.75

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Solution

The fourth proportional to 1,144.75, 1,717.13 and 460.75 is: 691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.75 : 1,717.13 = 460.75 : x
  2. Step 2: Convert to fraction form
    1,144.75/1,717.13 = 460.75/x
  3. Step 3: Cross multiply
    1,144.75x = 1,717.13 × 460.75
  4. Step 4: Simplify right side
    1,144.75x = 791,167.65
  5. Step 5: Solve for x
    x = 791,167.65/1,144.75
  6. Step 6: Final answer
    x = 691.13

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Double scale
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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.