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Finding the Fourth Proportional to 1,001.28, 1,493.88 and 897.60

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Solution

The fourth proportional to 1,001.28, 1,493.88 and 897.60 is: 1,339.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.28 : 1,493.88 = 897.60 : x
  2. Step 2: Convert to fraction form
    1,001.28/1,493.88 = 897.60/x
  3. Step 3: Cross multiply
    1,001.28x = 1,493.88 × 897.60
  4. Step 4: Simplify right side
    1,001.28x = 1,340,906.69
  5. Step 5: Solve for x
    x = 1,340,906.69/1,001.28
  6. Step 6: Final answer
    x = 1,339.19

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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.