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Finding the Fourth Proportional to 901.49, 1,353.38 and 864.59

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Solution

The fourth proportional to 901.49, 1,353.38 and 864.59 is: 1,297.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.49 : 1,353.38 = 864.59 : x
  2. Step 2: Convert to fraction form
    901.49/1,353.38 = 864.59/x
  3. Step 3: Cross multiply
    901.49x = 1,353.38 × 864.59
  4. Step 4: Simplify right side
    901.49x = 1,170,107.72
  5. Step 5: Solve for x
    x = 1,170,107.72/901.49
  6. Step 6: Final answer
    x = 1,297.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.