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Finding the Fourth Proportional to 543.50, 750.08 and 310.64

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Solution

The fourth proportional to 543.50, 750.08 and 310.64 is: 428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.50 : 750.08 = 310.64 : x
  2. Step 2: Convert to fraction form
    543.50/750.08 = 310.64/x
  3. Step 3: Cross multiply
    543.50x = 750.08 × 310.64
  4. Step 4: Simplify right side
    543.50x = 233,004.85
  5. Step 5: Solve for x
    x = 233,004.85/543.50
  6. Step 6: Final answer
    x = 428.71

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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.