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Finding the Fourth Proportional to 891.13, 1,337.34 and 837.34

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Solution

The fourth proportional to 891.13, 1,337.34 and 837.34 is: 1,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.13 : 1,337.34 = 837.34 : x
  2. Step 2: Convert to fraction form
    891.13/1,337.34 = 837.34/x
  3. Step 3: Cross multiply
    891.13x = 1,337.34 × 837.34
  4. Step 4: Simplify right side
    891.13x = 1,119,808.28
  5. Step 5: Solve for x
    x = 1,119,808.28/891.13
  6. Step 6: Final answer
    x = 1,256.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.