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Finding the Fourth Proportional to 897.19, 1,238.67 and 617.92

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Solution

The fourth proportional to 897.19, 1,238.67 and 617.92 is: 853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.19 : 1,238.67 = 617.92 : x
  2. Step 2: Convert to fraction form
    897.19/1,238.67 = 617.92/x
  3. Step 3: Cross multiply
    897.19x = 1,238.67 × 617.92
  4. Step 4: Simplify right side
    897.19x = 765,398.97
  5. Step 5: Solve for x
    x = 765,398.97/897.19
  6. Step 6: Final answer
    x = 853.11

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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.