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Finding the Fourth Proportional to 841.92, 1,256.68 and 743.40

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Solution

The fourth proportional to 841.92, 1,256.68 and 743.40 is: 1,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.92 : 1,256.68 = 743.40 : x
  2. Step 2: Convert to fraction form
    841.92/1,256.68 = 743.40/x
  3. Step 3: Cross multiply
    841.92x = 1,256.68 × 743.40
  4. Step 4: Simplify right side
    841.92x = 934,215.91
  5. Step 5: Solve for x
    x = 934,215.91/841.92
  6. Step 6: Final answer
    x = 1,109.63

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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.