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Finding the Fourth Proportional to 897.97, 1,238.79 and 648.89

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Solution

The fourth proportional to 897.97, 1,238.79 and 648.89 is: 895.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.97 : 1,238.79 = 648.89 : x
  2. Step 2: Convert to fraction form
    897.97/1,238.79 = 648.89/x
  3. Step 3: Cross multiply
    897.97x = 1,238.79 × 648.89
  4. Step 4: Simplify right side
    897.97x = 803,839.11
  5. Step 5: Solve for x
    x = 803,839.11/897.97
  6. Step 6: Final answer
    x = 895.18

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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.