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Finding the Fourth Proportional to 840.88, 1,158.96 and 792.28

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Solution

The fourth proportional to 840.88, 1,158.96 and 792.28 is: 1,091.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.88 : 1,158.96 = 792.28 : x
  2. Step 2: Convert to fraction form
    840.88/1,158.96 = 792.28/x
  3. Step 3: Cross multiply
    840.88x = 1,158.96 × 792.28
  4. Step 4: Simplify right side
    840.88x = 918,220.79
  5. Step 5: Solve for x
    x = 918,220.79/840.88
  6. Step 6: Final answer
    x = 1,091.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.