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Finding the Fourth Proportional to 981.05, 1,469.95 and 651.24

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Solution

The fourth proportional to 981.05, 1,469.95 and 651.24 is: 975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.05 : 1,469.95 = 651.24 : x
  2. Step 2: Convert to fraction form
    981.05/1,469.95 = 651.24/x
  3. Step 3: Cross multiply
    981.05x = 1,469.95 × 651.24
  4. Step 4: Simplify right side
    981.05x = 957,288.61
  5. Step 5: Solve for x
    x = 957,288.61/981.05
  6. Step 6: Final answer
    x = 975.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.