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Finding the Fourth Proportional to 1,140.75, 1,574.24 and 616.78

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Solution

The fourth proportional to 1,140.75, 1,574.24 and 616.78 is: 851.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.75 : 1,574.24 = 616.78 : x
  2. Step 2: Convert to fraction form
    1,140.75/1,574.24 = 616.78/x
  3. Step 3: Cross multiply
    1,140.75x = 1,574.24 × 616.78
  4. Step 4: Simplify right side
    1,140.75x = 970,958.63
  5. Step 5: Solve for x
    x = 970,958.63/1,140.75
  6. Step 6: Final answer
    x = 851.16

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.