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Finding the Fourth Proportional to 609.40, 909.41 and 471.70

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Solution

The fourth proportional to 609.40, 909.41 and 471.70 is: 703.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.40 : 909.41 = 471.70 : x
  2. Step 2: Convert to fraction form
    609.40/909.41 = 471.70/x
  3. Step 3: Cross multiply
    609.40x = 909.41 × 471.70
  4. Step 4: Simplify right side
    609.40x = 428,968.70
  5. Step 5: Solve for x
    x = 428,968.70/609.40
  6. Step 6: Final answer
    x = 703.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.