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Finding the Fourth Proportional to 2,158.97, 3,238.05 and 598.64

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Solution

The fourth proportional to 2,158.97, 3,238.05 and 598.64 is: 897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.97 : 3,238.05 = 598.64 : x
  2. Step 2: Convert to fraction form
    2,158.97/3,238.05 = 598.64/x
  3. Step 3: Cross multiply
    2,158.97x = 3,238.05 × 598.64
  4. Step 4: Simplify right side
    2,158.97x = 1,938,426.25
  5. Step 5: Solve for x
    x = 1,938,426.25/2,158.97
  6. Step 6: Final answer
    x = 897.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.