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Finding the Fourth Proportional to 645.22, 966.28 and 370.48

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Solution

The fourth proportional to 645.22, 966.28 and 370.48 is: 554.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.22 : 966.28 = 370.48 : x
  2. Step 2: Convert to fraction form
    645.22/966.28 = 370.48/x
  3. Step 3: Cross multiply
    645.22x = 966.28 × 370.48
  4. Step 4: Simplify right side
    645.22x = 357,987.41
  5. Step 5: Solve for x
    x = 357,987.41/645.22
  6. Step 6: Final answer
    x = 554.83

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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.