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Finding the Fourth Proportional to 643.37, 966.18 and 591.90

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Solution

The fourth proportional to 643.37, 966.18 and 591.90 is: 888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.37 : 966.18 = 591.90 : x
  2. Step 2: Convert to fraction form
    643.37/966.18 = 591.90/x
  3. Step 3: Cross multiply
    643.37x = 966.18 × 591.90
  4. Step 4: Simplify right side
    643.37x = 571,880.54
  5. Step 5: Solve for x
    x = 571,880.54/643.37
  6. Step 6: Final answer
    x = 888.89

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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.