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Finding the Fourth Proportional to 1,073.16, 1,609.68 and 379.80

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Solution

The fourth proportional to 1,073.16, 1,609.68 and 379.80 is: 569.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.16 : 1,609.68 = 379.80 : x
  2. Step 2: Convert to fraction form
    1,073.16/1,609.68 = 379.80/x
  3. Step 3: Cross multiply
    1,073.16x = 1,609.68 × 379.80
  4. Step 4: Simplify right side
    1,073.16x = 611,356.46
  5. Step 5: Solve for x
    x = 611,356.46/1,073.16
  6. Step 6: Final answer
    x = 569.68

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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.