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Finding the Fourth Proportional to 543.49, 749.40 and 386.17

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Solution

The fourth proportional to 543.49, 749.40 and 386.17 is: 532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.49 : 749.40 = 386.17 : x
  2. Step 2: Convert to fraction form
    543.49/749.40 = 386.17/x
  3. Step 3: Cross multiply
    543.49x = 749.40 × 386.17
  4. Step 4: Simplify right side
    543.49x = 289,395.80
  5. Step 5: Solve for x
    x = 289,395.80/543.49
  6. Step 6: Final answer
    x = 532.48

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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.