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Finding the Fourth Proportional to 1,077.39, 1,616.36 and 346.99

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Solution

The fourth proportional to 1,077.39, 1,616.36 and 346.99 is: 520.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.39 : 1,616.36 = 346.99 : x
  2. Step 2: Convert to fraction form
    1,077.39/1,616.36 = 346.99/x
  3. Step 3: Cross multiply
    1,077.39x = 1,616.36 × 346.99
  4. Step 4: Simplify right side
    1,077.39x = 560,854.98
  5. Step 5: Solve for x
    x = 560,854.98/1,077.39
  6. Step 6: Final answer
    x = 520.57

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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.