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Finding the Fourth Proportional to 537.47, 801.39 and 527.75

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Solution

The fourth proportional to 537.47, 801.39 and 527.75 is: 786.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.47 : 801.39 = 527.75 : x
  2. Step 2: Convert to fraction form
    537.47/801.39 = 527.75/x
  3. Step 3: Cross multiply
    537.47x = 801.39 × 527.75
  4. Step 4: Simplify right side
    537.47x = 422,933.57
  5. Step 5: Solve for x
    x = 422,933.57/537.47
  6. Step 6: Final answer
    x = 786.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.