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Finding the Fourth Proportional to 698.38, 964.44 and 598.22

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Solution

The fourth proportional to 698.38, 964.44 and 598.22 is: 826.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.38 : 964.44 = 598.22 : x
  2. Step 2: Convert to fraction form
    698.38/964.44 = 598.22/x
  3. Step 3: Cross multiply
    698.38x = 964.44 × 598.22
  4. Step 4: Simplify right side
    698.38x = 576,947.30
  5. Step 5: Solve for x
    x = 576,947.30/698.38
  6. Step 6: Final answer
    x = 826.12

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1.5x scale

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.