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Finding the Fourth Proportional to 657.11, 984.19 and 471.65

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Solution

The fourth proportional to 657.11, 984.19 and 471.65 is: 706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.11 : 984.19 = 471.65 : x
  2. Step 2: Convert to fraction form
    657.11/984.19 = 471.65/x
  3. Step 3: Cross multiply
    657.11x = 984.19 × 471.65
  4. Step 4: Simplify right side
    657.11x = 464,193.21
  5. Step 5: Solve for x
    x = 464,193.21/657.11
  6. Step 6: Final answer
    x = 706.42

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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.