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Finding the Fourth Proportional to 981.16, 1,469.82 and 518.24

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Solution

The fourth proportional to 981.16, 1,469.82 and 518.24 is: 776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.16 : 1,469.82 = 518.24 : x
  2. Step 2: Convert to fraction form
    981.16/1,469.82 = 518.24/x
  3. Step 3: Cross multiply
    981.16x = 1,469.82 × 518.24
  4. Step 4: Simplify right side
    981.16x = 761,719.52
  5. Step 5: Solve for x
    x = 761,719.52/981.16
  6. Step 6: Final answer
    x = 776.35

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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.