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Finding the Fourth Proportional to 897.21, 1,338.12 and 878.94

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Solution

The fourth proportional to 897.21, 1,338.12 and 878.94 is: 1,310.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.21 : 1,338.12 = 878.94 : x
  2. Step 2: Convert to fraction form
    897.21/1,338.12 = 878.94/x
  3. Step 3: Cross multiply
    897.21x = 1,338.12 × 878.94
  4. Step 4: Simplify right side
    897.21x = 1,176,127.19
  5. Step 5: Solve for x
    x = 1,176,127.19/897.21
  6. Step 6: Final answer
    x = 1,310.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.