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Finding the Fourth Proportional to 1,243.66, 1,865.45 and 512.68

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Solution

The fourth proportional to 1,243.66, 1,865.45 and 512.68 is: 769.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.66 : 1,865.45 = 512.68 : x
  2. Step 2: Convert to fraction form
    1,243.66/1,865.45 = 512.68/x
  3. Step 3: Cross multiply
    1,243.66x = 1,865.45 × 512.68
  4. Step 4: Simplify right side
    1,243.66x = 956,367.02
  5. Step 5: Solve for x
    x = 956,367.02/1,243.66
  6. Step 6: Final answer
    x = 769.00

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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.