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Finding the Fourth Proportional to 922.56, 1,381.29 and 834.47

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Solution

The fourth proportional to 922.56, 1,381.29 and 834.47 is: 1,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.56 : 1,381.29 = 834.47 : x
  2. Step 2: Convert to fraction form
    922.56/1,381.29 = 834.47/x
  3. Step 3: Cross multiply
    922.56x = 1,381.29 × 834.47
  4. Step 4: Simplify right side
    922.56x = 1,152,638.16
  5. Step 5: Solve for x
    x = 1,152,638.16/922.56
  6. Step 6: Final answer
    x = 1,249.39

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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.