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Finding the Fourth Proportional to 865.98, 1,200.75 and 835.20

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Solution

The fourth proportional to 865.98, 1,200.75 and 835.20 is: 1,158.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.98 : 1,200.75 = 835.20 : x
  2. Step 2: Convert to fraction form
    865.98/1,200.75 = 835.20/x
  3. Step 3: Cross multiply
    865.98x = 1,200.75 × 835.20
  4. Step 4: Simplify right side
    865.98x = 1,002,866.40
  5. Step 5: Solve for x
    x = 1,002,866.40/865.98
  6. Step 6: Final answer
    x = 1,158.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.