Home / 1,046.70-1,563.41-986.72

Finding the Fourth Proportional to 1,046.70, 1,563.41 and 986.72

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Solution

The fourth proportional to 1,046.70, 1,563.41 and 986.72 is: 1,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.70 : 1,563.41 = 986.72 : x
  2. Step 2: Convert to fraction form
    1,046.70/1,563.41 = 986.72/x
  3. Step 3: Cross multiply
    1,046.70x = 1,563.41 × 986.72
  4. Step 4: Simplify right side
    1,046.70x = 1,542,647.92
  5. Step 5: Solve for x
    x = 1,542,647.92/1,046.70
  6. Step 6: Final answer
    x = 1,473.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.