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Finding the Fourth Proportional to 842.78, 1,162.91 and 488.75

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Solution

The fourth proportional to 842.78, 1,162.91 and 488.75 is: 674.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.78 : 1,162.91 = 488.75 : x
  2. Step 2: Convert to fraction form
    842.78/1,162.91 = 488.75/x
  3. Step 3: Cross multiply
    842.78x = 1,162.91 × 488.75
  4. Step 4: Simplify right side
    842.78x = 568,364.00
  5. Step 5: Solve for x
    x = 568,364.00/842.78
  6. Step 6: Final answer
    x = 674.39

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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.