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Finding the Fourth Proportional to 897.32, 1,340.87 and 673.49

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Solution

The fourth proportional to 897.32, 1,340.87 and 673.49 is: 1,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.32 : 1,340.87 = 673.49 : x
  2. Step 2: Convert to fraction form
    897.32/1,340.87 = 673.49/x
  3. Step 3: Cross multiply
    897.32x = 1,340.87 × 673.49
  4. Step 4: Simplify right side
    897.32x = 903,062.54
  5. Step 5: Solve for x
    x = 903,062.54/897.32
  6. Step 6: Final answer
    x = 1,006.40

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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.