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Finding the Fourth Proportional to 543.13, 748.78 and 368.17

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Solution

The fourth proportional to 543.13, 748.78 and 368.17 is: 507.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.13 : 748.78 = 368.17 : x
  2. Step 2: Convert to fraction form
    543.13/748.78 = 368.17/x
  3. Step 3: Cross multiply
    543.13x = 748.78 × 368.17
  4. Step 4: Simplify right side
    543.13x = 275,678.33
  5. Step 5: Solve for x
    x = 275,678.33/543.13
  6. Step 6: Final answer
    x = 507.57

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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.