Home / 1,036.20-1,431.78-816.90

Finding the Fourth Proportional to 1,036.20, 1,431.78 and 816.90

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Solution

The fourth proportional to 1,036.20, 1,431.78 and 816.90 is: 1,128.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.20 : 1,431.78 = 816.90 : x
  2. Step 2: Convert to fraction form
    1,036.20/1,431.78 = 816.90/x
  3. Step 3: Cross multiply
    1,036.20x = 1,431.78 × 816.90
  4. Step 4: Simplify right side
    1,036.20x = 1,169,621.08
  5. Step 5: Solve for x
    x = 1,169,621.08/1,036.20
  6. Step 6: Final answer
    x = 1,128.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.