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Finding the Fourth Proportional to 609.50, 912.62 and 471.80

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Solution

The fourth proportional to 609.50, 912.62 and 471.80 is: 706.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.50 : 912.62 = 471.80 : x
  2. Step 2: Convert to fraction form
    609.50/912.62 = 471.80/x
  3. Step 3: Cross multiply
    609.50x = 912.62 × 471.80
  4. Step 4: Simplify right side
    609.50x = 430,574.12
  5. Step 5: Solve for x
    x = 430,574.12/609.50
  6. Step 6: Final answer
    x = 706.44

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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.