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Finding the Fourth Proportional to 905.93, 1,353.72 and 760.13

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Solution

The fourth proportional to 905.93, 1,353.72 and 760.13 is: 1,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.93 : 1,353.72 = 760.13 : x
  2. Step 2: Convert to fraction form
    905.93/1,353.72 = 760.13/x
  3. Step 3: Cross multiply
    905.93x = 1,353.72 × 760.13
  4. Step 4: Simplify right side
    905.93x = 1,028,996.42
  5. Step 5: Solve for x
    x = 1,028,996.42/905.93
  6. Step 6: Final answer
    x = 1,135.85

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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.