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Finding the Fourth Proportional to 545.57, 752.69 and 349.19

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Solution

The fourth proportional to 545.57, 752.69 and 349.19 is: 481.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.57 : 752.69 = 349.19 : x
  2. Step 2: Convert to fraction form
    545.57/752.69 = 349.19/x
  3. Step 3: Cross multiply
    545.57x = 752.69 × 349.19
  4. Step 4: Simplify right side
    545.57x = 262,826.31
  5. Step 5: Solve for x
    x = 262,826.31/545.57
  6. Step 6: Final answer
    x = 481.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.