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Finding the Fourth Proportional to 645.25, 966.51 and 319.94

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Solution

The fourth proportional to 645.25, 966.51 and 319.94 is: 479.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.25 : 966.51 = 319.94 : x
  2. Step 2: Convert to fraction form
    645.25/966.51 = 319.94/x
  3. Step 3: Cross multiply
    645.25x = 966.51 × 319.94
  4. Step 4: Simplify right side
    645.25x = 309,225.21
  5. Step 5: Solve for x
    x = 309,225.21/645.25
  6. Step 6: Final answer
    x = 479.23

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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.