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Finding the Fourth Proportional to 981.66, 1,354.56 and 556.26

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Solution

The fourth proportional to 981.66, 1,354.56 and 556.26 is: 767.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.66 : 1,354.56 = 556.26 : x
  2. Step 2: Convert to fraction form
    981.66/1,354.56 = 556.26/x
  3. Step 3: Cross multiply
    981.66x = 1,354.56 × 556.26
  4. Step 4: Simplify right side
    981.66x = 753,487.55
  5. Step 5: Solve for x
    x = 753,487.55/981.66
  6. Step 6: Final answer
    x = 767.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.