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Finding the Fourth Proportional to 966.82, 1,444.71 and 656.09

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Solution

The fourth proportional to 966.82, 1,444.71 and 656.09 is: 980.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.82 : 1,444.71 = 656.09 : x
  2. Step 2: Convert to fraction form
    966.82/1,444.71 = 656.09/x
  3. Step 3: Cross multiply
    966.82x = 1,444.71 × 656.09
  4. Step 4: Simplify right side
    966.82x = 947,859.78
  5. Step 5: Solve for x
    x = 947,859.78/966.82
  6. Step 6: Final answer
    x = 980.39

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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.