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Finding the Fourth Proportional to 981.91, 1,478.17 and 897.16

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Solution

The fourth proportional to 981.91, 1,478.17 and 897.16 is: 1,350.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.91 : 1,478.17 = 897.16 : x
  2. Step 2: Convert to fraction form
    981.91/1,478.17 = 897.16/x
  3. Step 3: Cross multiply
    981.91x = 1,478.17 × 897.16
  4. Step 4: Simplify right side
    981.91x = 1,326,155.00
  5. Step 5: Solve for x
    x = 1,326,155.00/981.91
  6. Step 6: Final answer
    x = 1,350.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.