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Finding the Fourth Proportional to 543.50, 750.04 and 310.68

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Solution

The fourth proportional to 543.50, 750.04 and 310.68 is: 428.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.50 : 750.04 = 310.68 : x
  2. Step 2: Convert to fraction form
    543.50/750.04 = 310.68/x
  3. Step 3: Cross multiply
    543.50x = 750.04 × 310.68
  4. Step 4: Simplify right side
    543.50x = 233,022.43
  5. Step 5: Solve for x
    x = 233,022.43/543.50
  6. Step 6: Final answer
    x = 428.74

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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.