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Finding the Fourth Proportional to 840.24, 1,251.91 and 793.08

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Solution

The fourth proportional to 840.24, 1,251.91 and 793.08 is: 1,181.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.24 : 1,251.91 = 793.08 : x
  2. Step 2: Convert to fraction form
    840.24/1,251.91 = 793.08/x
  3. Step 3: Cross multiply
    840.24x = 1,251.91 × 793.08
  4. Step 4: Simplify right side
    840.24x = 992,862.80
  5. Step 5: Solve for x
    x = 992,862.80/840.24
  6. Step 6: Final answer
    x = 1,181.64

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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.