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Finding the Fourth Proportional to 1,297.91, 1,947.27 and 887.85

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Solution

The fourth proportional to 1,297.91, 1,947.27 and 887.85 is: 1,332.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.91 : 1,947.27 = 887.85 : x
  2. Step 2: Convert to fraction form
    1,297.91/1,947.27 = 887.85/x
  3. Step 3: Cross multiply
    1,297.91x = 1,947.27 × 887.85
  4. Step 4: Simplify right side
    1,297.91x = 1,728,883.67
  5. Step 5: Solve for x
    x = 1,728,883.67/1,297.91
  6. Step 6: Final answer
    x = 1,332.06

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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.