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Finding the Fourth Proportional to 609.18, 912.54 and 471.74

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Solution

The fourth proportional to 609.18, 912.54 and 471.74 is: 706.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.18 : 912.54 = 471.74 : x
  2. Step 2: Convert to fraction form
    609.18/912.54 = 471.74/x
  3. Step 3: Cross multiply
    609.18x = 912.54 × 471.74
  4. Step 4: Simplify right side
    609.18x = 430,481.62
  5. Step 5: Solve for x
    x = 430,481.62/609.18
  6. Step 6: Final answer
    x = 706.66

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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.