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Finding the Fourth Proportional to 543.62, 750.20 and 310.74

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Solution

The fourth proportional to 543.62, 750.20 and 310.74 is: 428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.62 : 750.20 = 310.74 : x
  2. Step 2: Convert to fraction form
    543.62/750.20 = 310.74/x
  3. Step 3: Cross multiply
    543.62x = 750.20 × 310.74
  4. Step 4: Simplify right side
    543.62x = 233,115.59
  5. Step 5: Solve for x
    x = 233,115.59/543.62
  6. Step 6: Final answer
    x = 428.82

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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.