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Finding the Fourth Proportional to 645.45, 968.15 and 158.49

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Solution

The fourth proportional to 645.45, 968.15 and 158.49 is: 237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.45 : 968.15 = 158.49 : x
  2. Step 2: Convert to fraction form
    645.45/968.15 = 158.49/x
  3. Step 3: Cross multiply
    645.45x = 968.15 × 158.49
  4. Step 4: Simplify right side
    645.45x = 153,441.30
  5. Step 5: Solve for x
    x = 153,441.30/645.45
  6. Step 6: Final answer
    x = 237.73

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.