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Finding the Fourth Proportional to 543.65, 749.96 and 344.14

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Solution

The fourth proportional to 543.65, 749.96 and 344.14 is: 474.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.65 : 749.96 = 344.14 : x
  2. Step 2: Convert to fraction form
    543.65/749.96 = 344.14/x
  3. Step 3: Cross multiply
    543.65x = 749.96 × 344.14
  4. Step 4: Simplify right side
    543.65x = 258,092.25
  5. Step 5: Solve for x
    x = 258,092.25/543.65
  6. Step 6: Final answer
    x = 474.74

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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.