Home / 1,226.64-1,693.98-964.20

Finding the Fourth Proportional to 1,226.64, 1,693.98 and 964.20

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Solution

The fourth proportional to 1,226.64, 1,693.98 and 964.20 is: 1,331.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.64 : 1,693.98 = 964.20 : x
  2. Step 2: Convert to fraction form
    1,226.64/1,693.98 = 964.20/x
  3. Step 3: Cross multiply
    1,226.64x = 1,693.98 × 964.20
  4. Step 4: Simplify right side
    1,226.64x = 1,633,335.52
  5. Step 5: Solve for x
    x = 1,633,335.52/1,226.64
  6. Step 6: Final answer
    x = 1,331.55

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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.