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Finding the Fourth Proportional to 985.35, 1,475.16 and 768.27

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Solution

The fourth proportional to 985.35, 1,475.16 and 768.27 is: 1,150.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.35 : 1,475.16 = 768.27 : x
  2. Step 2: Convert to fraction form
    985.35/1,475.16 = 768.27/x
  3. Step 3: Cross multiply
    985.35x = 1,475.16 × 768.27
  4. Step 4: Simplify right side
    985.35x = 1,133,321.17
  5. Step 5: Solve for x
    x = 1,133,321.17/985.35
  6. Step 6: Final answer
    x = 1,150.17

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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.