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Finding the Fourth Proportional to 1,225.26, 1,689.30 and 782.42

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Solution

The fourth proportional to 1,225.26, 1,689.30 and 782.42 is: 1,078.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.26 : 1,689.30 = 782.42 : x
  2. Step 2: Convert to fraction form
    1,225.26/1,689.30 = 782.42/x
  3. Step 3: Cross multiply
    1,225.26x = 1,689.30 × 782.42
  4. Step 4: Simplify right side
    1,225.26x = 1,321,733.66
  5. Step 5: Solve for x
    x = 1,321,733.66/1,225.26
  6. Step 6: Final answer
    x = 1,078.74

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1.5x scale

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.