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Finding the Fourth Proportional to 901.28, 1,345.40 and 791.94

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Solution

The fourth proportional to 901.28, 1,345.40 and 791.94 is: 1,182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.28 : 1,345.40 = 791.94 : x
  2. Step 2: Convert to fraction form
    901.28/1,345.40 = 791.94/x
  3. Step 3: Cross multiply
    901.28x = 1,345.40 × 791.94
  4. Step 4: Simplify right side
    901.28x = 1,065,476.08
  5. Step 5: Solve for x
    x = 1,065,476.08/901.28
  6. Step 6: Final answer
    x = 1,182.18

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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.