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Finding the Fourth Proportional to 856.10, 1,180.32 and 698.57

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Solution

The fourth proportional to 856.10, 1,180.32 and 698.57 is: 963.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.10 : 1,180.32 = 698.57 : x
  2. Step 2: Convert to fraction form
    856.10/1,180.32 = 698.57/x
  3. Step 3: Cross multiply
    856.10x = 1,180.32 × 698.57
  4. Step 4: Simplify right side
    856.10x = 824,542.62
  5. Step 5: Solve for x
    x = 824,542.62/856.10
  6. Step 6: Final answer
    x = 963.14

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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.