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Finding the Fourth Proportional to 856.53, 1,180.76 and 576.65

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Solution

The fourth proportional to 856.53, 1,180.76 and 576.65 is: 794.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.53 : 1,180.76 = 576.65 : x
  2. Step 2: Convert to fraction form
    856.53/1,180.76 = 576.65/x
  3. Step 3: Cross multiply
    856.53x = 1,180.76 × 576.65
  4. Step 4: Simplify right side
    856.53x = 680,876.47
  5. Step 5: Solve for x
    x = 680,876.47/856.53
  6. Step 6: Final answer
    x = 794.92

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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.