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Finding the Fourth Proportional to 856.62, 1,180.22 and 561.38

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Solution

The fourth proportional to 856.62, 1,180.22 and 561.38 is: 773.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.62 : 1,180.22 = 561.38 : x
  2. Step 2: Convert to fraction form
    856.62/1,180.22 = 561.38/x
  3. Step 3: Cross multiply
    856.62x = 1,180.22 × 561.38
  4. Step 4: Simplify right side
    856.62x = 662,543.20
  5. Step 5: Solve for x
    x = 662,543.20/856.62
  6. Step 6: Final answer
    x = 773.44

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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.