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Finding the Fourth Proportional to 922.33, 1,271.91 and 782.83

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Solution

The fourth proportional to 922.33, 1,271.91 and 782.83 is: 1,079.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.33 : 1,271.91 = 782.83 : x
  2. Step 2: Convert to fraction form
    922.33/1,271.91 = 782.83/x
  3. Step 3: Cross multiply
    922.33x = 1,271.91 × 782.83
  4. Step 4: Simplify right side
    922.33x = 995,689.31
  5. Step 5: Solve for x
    x = 995,689.31/922.33
  6. Step 6: Final answer
    x = 1,079.54

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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.