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Finding the Fourth Proportional to 898.56, 1,240.45 and 696.21

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Solution

The fourth proportional to 898.56, 1,240.45 and 696.21 is: 961.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.56 : 1,240.45 = 696.21 : x
  2. Step 2: Convert to fraction form
    898.56/1,240.45 = 696.21/x
  3. Step 3: Cross multiply
    898.56x = 1,240.45 × 696.21
  4. Step 4: Simplify right side
    898.56x = 863,621.68
  5. Step 5: Solve for x
    x = 863,621.68/898.56
  6. Step 6: Final answer
    x = 961.12

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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.