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Finding the Fourth Proportional to 984.07, 1,349.21 and 966.52

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Solution

The fourth proportional to 984.07, 1,349.21 and 966.52 is: 1,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.07 : 1,349.21 = 966.52 : x
  2. Step 2: Convert to fraction form
    984.07/1,349.21 = 966.52/x
  3. Step 3: Cross multiply
    984.07x = 1,349.21 × 966.52
  4. Step 4: Simplify right side
    984.07x = 1,304,038.45
  5. Step 5: Solve for x
    x = 1,304,038.45/984.07
  6. Step 6: Final answer
    x = 1,325.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.