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Finding the Fourth Proportional to 543.63, 750.23 and 310.75

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Solution

The fourth proportional to 543.63, 750.23 and 310.75 is: 428.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.63 : 750.23 = 310.75 : x
  2. Step 2: Convert to fraction form
    543.63/750.23 = 310.75/x
  3. Step 3: Cross multiply
    543.63x = 750.23 × 310.75
  4. Step 4: Simplify right side
    543.63x = 233,132.42
  5. Step 5: Solve for x
    x = 233,132.42/543.63
  6. Step 6: Final answer
    x = 428.85

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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.