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Finding the Fourth Proportional to 865.59, 1,289.70 and 842.37

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Solution

The fourth proportional to 865.59, 1,289.70 and 842.37 is: 1,255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.59 : 1,289.70 = 842.37 : x
  2. Step 2: Convert to fraction form
    865.59/1,289.70 = 842.37/x
  3. Step 3: Cross multiply
    865.59x = 1,289.70 × 842.37
  4. Step 4: Simplify right side
    865.59x = 1,086,404.59
  5. Step 5: Solve for x
    x = 1,086,404.59/865.59
  6. Step 6: Final answer
    x = 1,255.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.