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Finding the Fourth Proportional to 545.86, 753.08 and 349.34

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Solution

The fourth proportional to 545.86, 753.08 and 349.34 is: 481.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.86 : 753.08 = 349.34 : x
  2. Step 2: Convert to fraction form
    545.86/753.08 = 349.34/x
  3. Step 3: Cross multiply
    545.86x = 753.08 × 349.34
  4. Step 4: Simplify right side
    545.86x = 263,080.97
  5. Step 5: Solve for x
    x = 263,080.97/545.86
  6. Step 6: Final answer
    x = 481.96

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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.