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Finding the Fourth Proportional to 971.85, 1,455.11 and 678.73

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Solution

The fourth proportional to 971.85, 1,455.11 and 678.73 is: 1,016.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.85 : 1,455.11 = 678.73 : x
  2. Step 2: Convert to fraction form
    971.85/1,455.11 = 678.73/x
  3. Step 3: Cross multiply
    971.85x = 1,455.11 × 678.73
  4. Step 4: Simplify right side
    971.85x = 987,628.87
  5. Step 5: Solve for x
    x = 987,628.87/971.85
  6. Step 6: Final answer
    x = 1,016.24

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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.