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Finding the Fourth Proportional to 645.16, 966.66 and 355.72

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Solution

The fourth proportional to 645.16, 966.66 and 355.72 is: 532.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.16 : 966.66 = 355.72 : x
  2. Step 2: Convert to fraction form
    645.16/966.66 = 355.72/x
  3. Step 3: Cross multiply
    645.16x = 966.66 × 355.72
  4. Step 4: Simplify right side
    645.16x = 343,860.30
  5. Step 5: Solve for x
    x = 343,860.30/645.16
  6. Step 6: Final answer
    x = 532.98

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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.