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Finding the Fourth Proportional to 545.98, 753.14 and 398.44

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Solution

The fourth proportional to 545.98, 753.14 and 398.44 is: 549.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    545.98 : 753.14 = 398.44 : x
  2. Step 2: Convert to fraction form
    545.98/753.14 = 398.44/x
  3. Step 3: Cross multiply
    545.98x = 753.14 × 398.44
  4. Step 4: Simplify right side
    545.98x = 300,081.10
  5. Step 5: Solve for x
    x = 300,081.10/545.98
  6. Step 6: Final answer
    x = 549.62

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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.