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Finding the Fourth Proportional to 1,244.47, 1,866.61 and 378.79

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Solution

The fourth proportional to 1,244.47, 1,866.61 and 378.79 is: 568.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.47 : 1,866.61 = 378.79 : x
  2. Step 2: Convert to fraction form
    1,244.47/1,866.61 = 378.79/x
  3. Step 3: Cross multiply
    1,244.47x = 1,866.61 × 378.79
  4. Step 4: Simplify right side
    1,244.47x = 707,053.20
  5. Step 5: Solve for x
    x = 707,053.20/1,244.47
  6. Step 6: Final answer
    x = 568.16

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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.