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Finding the Fourth Proportional to 644.86, 966.48 and 320.32

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Solution

The fourth proportional to 644.86, 966.48 and 320.32 is: 480.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.86 : 966.48 = 320.32 : x
  2. Step 2: Convert to fraction form
    644.86/966.48 = 320.32/x
  3. Step 3: Cross multiply
    644.86x = 966.48 × 320.32
  4. Step 4: Simplify right side
    644.86x = 309,582.87
  5. Step 5: Solve for x
    x = 309,582.87/644.86
  6. Step 6: Final answer
    x = 480.08

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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.