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Finding the Fourth Proportional to 543.56, 813.67 and 334.78

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Solution

The fourth proportional to 543.56, 813.67 and 334.78 is: 501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.56 : 813.67 = 334.78 : x
  2. Step 2: Convert to fraction form
    543.56/813.67 = 334.78/x
  3. Step 3: Cross multiply
    543.56x = 813.67 × 334.78
  4. Step 4: Simplify right side
    543.56x = 272,397.57
  5. Step 5: Solve for x
    x = 272,397.57/543.56
  6. Step 6: Final answer
    x = 501.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.