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Finding the Fourth Proportional to 543.04, 749.11 and 411.82

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Solution

The fourth proportional to 543.04, 749.11 and 411.82 is: 568.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.04 : 749.11 = 411.82 : x
  2. Step 2: Convert to fraction form
    543.04/749.11 = 411.82/x
  3. Step 3: Cross multiply
    543.04x = 749.11 × 411.82
  4. Step 4: Simplify right side
    543.04x = 308,498.48
  5. Step 5: Solve for x
    x = 308,498.48/543.04
  6. Step 6: Final answer
    x = 568.10

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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.