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Finding the Fourth Proportional to 841.72, 1,156.89 and 742.88

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Solution

The fourth proportional to 841.72, 1,156.89 and 742.88 is: 1,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.72 : 1,156.89 = 742.88 : x
  2. Step 2: Convert to fraction form
    841.72/1,156.89 = 742.88/x
  3. Step 3: Cross multiply
    841.72x = 1,156.89 × 742.88
  4. Step 4: Simplify right side
    841.72x = 859,430.44
  5. Step 5: Solve for x
    x = 859,430.44/841.72
  6. Step 6: Final answer
    x = 1,021.04

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.