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Finding the Fourth Proportional to 964.70, 1,331.43 and 839.90

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Solution

The fourth proportional to 964.70, 1,331.43 and 839.90 is: 1,159.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.70 : 1,331.43 = 839.90 : x
  2. Step 2: Convert to fraction form
    964.70/1,331.43 = 839.90/x
  3. Step 3: Cross multiply
    964.70x = 1,331.43 × 839.90
  4. Step 4: Simplify right side
    964.70x = 1,118,268.06
  5. Step 5: Solve for x
    x = 1,118,268.06/964.70
  6. Step 6: Final answer
    x = 1,159.19

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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.