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Finding the Fourth Proportional to 1,073.42, 1,609.76 and 379.97

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Solution

The fourth proportional to 1,073.42, 1,609.76 and 379.97 is: 569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.42 : 1,609.76 = 379.97 : x
  2. Step 2: Convert to fraction form
    1,073.42/1,609.76 = 379.97/x
  3. Step 3: Cross multiply
    1,073.42x = 1,609.76 × 379.97
  4. Step 4: Simplify right side
    1,073.42x = 611,653.41
  5. Step 5: Solve for x
    x = 611,653.41/1,073.42
  6. Step 6: Final answer
    x = 569.82

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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.