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Finding the Fourth Proportional to 1,140.66, 1,574.10 and 616.69

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Solution

The fourth proportional to 1,140.66, 1,574.10 and 616.69 is: 851.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.66 : 1,574.10 = 616.69 : x
  2. Step 2: Convert to fraction form
    1,140.66/1,574.10 = 616.69/x
  3. Step 3: Cross multiply
    1,140.66x = 1,574.10 × 616.69
  4. Step 4: Simplify right side
    1,140.66x = 970,731.73
  5. Step 5: Solve for x
    x = 970,731.73/1,140.66
  6. Step 6: Final answer
    x = 851.03

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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.