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Finding the Fourth Proportional to 897.70, 1,238.97 and 839.14

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Solution

The fourth proportional to 897.70, 1,238.97 and 839.14 is: 1,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.70 : 1,238.97 = 839.14 : x
  2. Step 2: Convert to fraction form
    897.70/1,238.97 = 839.14/x
  3. Step 3: Cross multiply
    897.70x = 1,238.97 × 839.14
  4. Step 4: Simplify right side
    897.70x = 1,039,669.29
  5. Step 5: Solve for x
    x = 1,039,669.29/897.70
  6. Step 6: Final answer
    x = 1,158.15

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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.