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Finding the Fourth Proportional to 856.08, 1,182.42 and 741.06

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Solution

The fourth proportional to 856.08, 1,182.42 and 741.06 is: 1,023.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.08 : 1,182.42 = 741.06 : x
  2. Step 2: Convert to fraction form
    856.08/1,182.42 = 741.06/x
  3. Step 3: Cross multiply
    856.08x = 1,182.42 × 741.06
  4. Step 4: Simplify right side
    856.08x = 876,244.17
  5. Step 5: Solve for x
    x = 876,244.17/856.08
  6. Step 6: Final answer
    x = 1,023.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.