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Finding the Fourth Proportional to 645.72, 968.88 and 472.56

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Solution

The fourth proportional to 645.72, 968.88 and 472.56 is: 709.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.72 : 968.88 = 472.56 : x
  2. Step 2: Convert to fraction form
    645.72/968.88 = 472.56/x
  3. Step 3: Cross multiply
    645.72x = 968.88 × 472.56
  4. Step 4: Simplify right side
    645.72x = 457,853.93
  5. Step 5: Solve for x
    x = 457,853.93/645.72
  6. Step 6: Final answer
    x = 709.06

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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.