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Finding the Fourth Proportional to 645.98, 891.42 and 366.22

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Solution

The fourth proportional to 645.98, 891.42 and 366.22 is: 505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.98 : 891.42 = 366.22 : x
  2. Step 2: Convert to fraction form
    645.98/891.42 = 366.22/x
  3. Step 3: Cross multiply
    645.98x = 891.42 × 366.22
  4. Step 4: Simplify right side
    645.98x = 326,451.38
  5. Step 5: Solve for x
    x = 326,451.38/645.98
  6. Step 6: Final answer
    x = 505.36

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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.