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Finding the Fourth Proportional to 897.90, 1,236.28 and 815.88

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Solution

The fourth proportional to 897.90, 1,236.28 and 815.88 is: 1,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.90 : 1,236.28 = 815.88 : x
  2. Step 2: Convert to fraction form
    897.90/1,236.28 = 815.88/x
  3. Step 3: Cross multiply
    897.90x = 1,236.28 × 815.88
  4. Step 4: Simplify right side
    897.90x = 1,008,658.17
  5. Step 5: Solve for x
    x = 1,008,658.17/897.90
  6. Step 6: Final answer
    x = 1,123.36

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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.