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Finding the Fourth Proportional to 537.28, 740.76 and 426.28

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Solution

The fourth proportional to 537.28, 740.76 and 426.28 is: 587.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.28 : 740.76 = 426.28 : x
  2. Step 2: Convert to fraction form
    537.28/740.76 = 426.28/x
  3. Step 3: Cross multiply
    537.28x = 740.76 × 426.28
  4. Step 4: Simplify right side
    537.28x = 315,771.17
  5. Step 5: Solve for x
    x = 315,771.17/537.28
  6. Step 6: Final answer
    x = 587.72

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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.