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Finding the Fourth Proportional to 985.44, 1,476.15 and 614.03

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Solution

The fourth proportional to 985.44, 1,476.15 and 614.03 is: 919.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.44 : 1,476.15 = 614.03 : x
  2. Step 2: Convert to fraction form
    985.44/1,476.15 = 614.03/x
  3. Step 3: Cross multiply
    985.44x = 1,476.15 × 614.03
  4. Step 4: Simplify right side
    985.44x = 906,400.73
  5. Step 5: Solve for x
    x = 906,400.73/985.44
  6. Step 6: Final answer
    x = 919.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.