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Finding the Fourth Proportional to 644.93, 966.20 and 436.60

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Solution

The fourth proportional to 644.93, 966.20 and 436.60 is: 654.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.93 : 966.20 = 436.60 : x
  2. Step 2: Convert to fraction form
    644.93/966.20 = 436.60/x
  3. Step 3: Cross multiply
    644.93x = 966.20 × 436.60
  4. Step 4: Simplify right side
    644.93x = 421,839.96
  5. Step 5: Solve for x
    x = 421,839.96/644.93
  6. Step 6: Final answer
    x = 654.08

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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.