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Finding the Fourth Proportional to 645.41, 968.12 and 158.46

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Solution

The fourth proportional to 645.41, 968.12 and 158.46 is: 237.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.41 : 968.12 = 158.46 : x
  2. Step 2: Convert to fraction form
    645.41/968.12 = 158.46/x
  3. Step 3: Cross multiply
    645.41x = 968.12 × 158.46
  4. Step 4: Simplify right side
    645.41x = 153,407.50
  5. Step 5: Solve for x
    x = 153,407.50/645.41
  6. Step 6: Final answer
    x = 237.69

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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.