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Finding the Fourth Proportional to 643.32, 963.12 and 529.11

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Solution

The fourth proportional to 643.32, 963.12 and 529.11 is: 792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.32 : 963.12 = 529.11 : x
  2. Step 2: Convert to fraction form
    643.32/963.12 = 529.11/x
  3. Step 3: Cross multiply
    643.32x = 963.12 × 529.11
  4. Step 4: Simplify right side
    643.32x = 509,596.42
  5. Step 5: Solve for x
    x = 509,596.42/643.32
  6. Step 6: Final answer
    x = 792.14

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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.