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Finding the Fourth Proportional to 1,073.08, 1,609.64 and 379.76

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Solution

The fourth proportional to 1,073.08, 1,609.64 and 379.76 is: 569.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.08 : 1,609.64 = 379.76 : x
  2. Step 2: Convert to fraction form
    1,073.08/1,609.64 = 379.76/x
  3. Step 3: Cross multiply
    1,073.08x = 1,609.64 × 379.76
  4. Step 4: Simplify right side
    1,073.08x = 611,276.89
  5. Step 5: Solve for x
    x = 611,276.89/1,073.08
  6. Step 6: Final answer
    x = 569.65

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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.