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Finding the Fourth Proportional to 605.09, 909.47 and 400.88

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Solution

The fourth proportional to 605.09, 909.47 and 400.88 is: 602.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.09 : 909.47 = 400.88 : x
  2. Step 2: Convert to fraction form
    605.09/909.47 = 400.88/x
  3. Step 3: Cross multiply
    605.09x = 909.47 × 400.88
  4. Step 4: Simplify right side
    605.09x = 364,591.61
  5. Step 5: Solve for x
    x = 364,591.61/605.09
  6. Step 6: Final answer
    x = 602.54

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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.