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Finding the Fourth Proportional to 1,199.69, 1,654.80 and 1,042.46

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Solution

The fourth proportional to 1,199.69, 1,654.80 and 1,042.46 is: 1,437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.69 : 1,654.80 = 1,042.46 : x
  2. Step 2: Convert to fraction form
    1,199.69/1,654.80 = 1,042.46/x
  3. Step 3: Cross multiply
    1,199.69x = 1,654.80 × 1,042.46
  4. Step 4: Simplify right side
    1,199.69x = 1,725,062.81
  5. Step 5: Solve for x
    x = 1,725,062.81/1,199.69
  6. Step 6: Final answer
    x = 1,437.92

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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.