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Finding the Fourth Proportional to 966.56, 1,331.48 and 906.08

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Solution

The fourth proportional to 966.56, 1,331.48 and 906.08 is: 1,248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.56 : 1,331.48 = 906.08 : x
  2. Step 2: Convert to fraction form
    966.56/1,331.48 = 906.08/x
  3. Step 3: Cross multiply
    966.56x = 1,331.48 × 906.08
  4. Step 4: Simplify right side
    966.56x = 1,206,427.40
  5. Step 5: Solve for x
    x = 1,206,427.40/966.56
  6. Step 6: Final answer
    x = 1,248.17

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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.