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Finding the Fourth Proportional to 1,140.75, 1,711.13 and 456.75

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Solution

The fourth proportional to 1,140.75, 1,711.13 and 456.75 is: 685.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.75 : 1,711.13 = 456.75 : x
  2. Step 2: Convert to fraction form
    1,140.75/1,711.13 = 456.75/x
  3. Step 3: Cross multiply
    1,140.75x = 1,711.13 × 456.75
  4. Step 4: Simplify right side
    1,140.75x = 781,556.34
  5. Step 5: Solve for x
    x = 781,556.34/1,140.75
  6. Step 6: Final answer
    x = 685.13

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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.