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Finding the Fourth Proportional to 545.43, 752.78 and 312.63

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Solution

The fourth proportional to 545.43, 752.78 and 312.63 is: 431.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.43 : 752.78 = 312.63 : x
  2. Step 2: Convert to fraction form
    545.43/752.78 = 312.63/x
  3. Step 3: Cross multiply
    545.43x = 752.78 × 312.63
  4. Step 4: Simplify right side
    545.43x = 235,340.05
  5. Step 5: Solve for x
    x = 235,340.05/545.43
  6. Step 6: Final answer
    x = 431.48

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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.