Home / 1,354.26-2,032.80-964.71

Finding the Fourth Proportional to 1,354.26, 2,032.80 and 964.71

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Solution

The fourth proportional to 1,354.26, 2,032.80 and 964.71 is: 1,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.26 : 2,032.80 = 964.71 : x
  2. Step 2: Convert to fraction form
    1,354.26/2,032.80 = 964.71/x
  3. Step 3: Cross multiply
    1,354.26x = 2,032.80 × 964.71
  4. Step 4: Simplify right side
    1,354.26x = 1,961,062.49
  5. Step 5: Solve for x
    x = 1,961,062.49/1,354.26
  6. Step 6: Final answer
    x = 1,448.07

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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.