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Finding the Fourth Proportional to 862.25, 1,189.79 and 596.77

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Solution

The fourth proportional to 862.25, 1,189.79 and 596.77 is: 823.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.25 : 1,189.79 = 596.77 : x
  2. Step 2: Convert to fraction form
    862.25/1,189.79 = 596.77/x
  3. Step 3: Cross multiply
    862.25x = 1,189.79 × 596.77
  4. Step 4: Simplify right side
    862.25x = 710,027.26
  5. Step 5: Solve for x
    x = 710,027.26/862.25
  6. Step 6: Final answer
    x = 823.46

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Double scale
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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.