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Finding the Fourth Proportional to 868.72, 1,197.42 and 536.42

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Solution

The fourth proportional to 868.72, 1,197.42 and 536.42 is: 739.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    868.72 : 1,197.42 = 536.42 : x
  2. Step 2: Convert to fraction form
    868.72/1,197.42 = 536.42/x
  3. Step 3: Cross multiply
    868.72x = 1,197.42 × 536.42
  4. Step 4: Simplify right side
    868.72x = 642,320.04
  5. Step 5: Solve for x
    x = 642,320.04/868.72
  6. Step 6: Final answer
    x = 739.39

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Half scale
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Double scale
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Similar ratio
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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.