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Finding the Fourth Proportional to 1,077.29, 1,616.09 and 346.62

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Solution

The fourth proportional to 1,077.29, 1,616.09 and 346.62 is: 519.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.29 : 1,616.09 = 346.62 : x
  2. Step 2: Convert to fraction form
    1,077.29/1,616.09 = 346.62/x
  3. Step 3: Cross multiply
    1,077.29x = 1,616.09 × 346.62
  4. Step 4: Simplify right side
    1,077.29x = 560,167.38
  5. Step 5: Solve for x
    x = 560,167.38/1,077.29
  6. Step 6: Final answer
    x = 519.98

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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.