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Finding the Fourth Proportional to 543.75, 752.35 and 473.95

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Solution

The fourth proportional to 543.75, 752.35 and 473.95 is: 655.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.75 : 752.35 = 473.95 : x
  2. Step 2: Convert to fraction form
    543.75/752.35 = 473.95/x
  3. Step 3: Cross multiply
    543.75x = 752.35 × 473.95
  4. Step 4: Simplify right side
    543.75x = 356,576.04
  5. Step 5: Solve for x
    x = 356,576.04/543.75
  6. Step 6: Final answer
    x = 655.78

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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.