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Finding the Fourth Proportional to 538.94, 801.96 and 537.12

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Solution

The fourth proportional to 538.94, 801.96 and 537.12 is: 799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.94 : 801.96 = 537.12 : x
  2. Step 2: Convert to fraction form
    538.94/801.96 = 537.12/x
  3. Step 3: Cross multiply
    538.94x = 801.96 × 537.12
  4. Step 4: Simplify right side
    538.94x = 430,748.76
  5. Step 5: Solve for x
    x = 430,748.76/538.94
  6. Step 6: Final answer
    x = 799.25

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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.