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Finding the Fourth Proportional to 545.25, 752.73 and 346.15

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Solution

The fourth proportional to 545.25, 752.73 and 346.15 is: 477.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.25 : 752.73 = 346.15 : x
  2. Step 2: Convert to fraction form
    545.25/752.73 = 346.15/x
  3. Step 3: Cross multiply
    545.25x = 752.73 × 346.15
  4. Step 4: Simplify right side
    545.25x = 260,557.49
  5. Step 5: Solve for x
    x = 260,557.49/545.25
  6. Step 6: Final answer
    x = 477.87

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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.