Home / 1,227.11-1,693.77-730.10

Finding the Fourth Proportional to 1,227.11, 1,693.77 and 730.10

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Solution

The fourth proportional to 1,227.11, 1,693.77 and 730.10 is: 1,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.11 : 1,693.77 = 730.10 : x
  2. Step 2: Convert to fraction form
    1,227.11/1,693.77 = 730.10/x
  3. Step 3: Cross multiply
    1,227.11x = 1,693.77 × 730.10
  4. Step 4: Simplify right side
    1,227.11x = 1,236,621.48
  5. Step 5: Solve for x
    x = 1,236,621.48/1,227.11
  6. Step 6: Final answer
    x = 1,007.75

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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.