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Finding the Fourth Proportional to 643.74, 967.02 and 528.45

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Solution

The fourth proportional to 643.74, 967.02 and 528.45 is: 793.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.74 : 967.02 = 528.45 : x
  2. Step 2: Convert to fraction form
    643.74/967.02 = 528.45/x
  3. Step 3: Cross multiply
    643.74x = 967.02 × 528.45
  4. Step 4: Simplify right side
    643.74x = 511,021.72
  5. Step 5: Solve for x
    x = 511,021.72/643.74
  6. Step 6: Final answer
    x = 793.83

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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.