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Finding the Fourth Proportional to 856.97, 1,174.90 and 841.40

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Solution

The fourth proportional to 856.97, 1,174.90 and 841.40 is: 1,153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.97 : 1,174.90 = 841.40 : x
  2. Step 2: Convert to fraction form
    856.97/1,174.90 = 841.40/x
  3. Step 3: Cross multiply
    856.97x = 1,174.90 × 841.40
  4. Step 4: Simplify right side
    856.97x = 988,560.86
  5. Step 5: Solve for x
    x = 988,560.86/856.97
  6. Step 6: Final answer
    x = 1,153.55

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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.