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Finding the Fourth Proportional to 605.20, 905.88 and 316.24

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Solution

The fourth proportional to 605.20, 905.88 and 316.24 is: 473.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.20 : 905.88 = 316.24 : x
  2. Step 2: Convert to fraction form
    605.20/905.88 = 316.24/x
  3. Step 3: Cross multiply
    605.20x = 905.88 × 316.24
  4. Step 4: Simplify right side
    605.20x = 286,475.49
  5. Step 5: Solve for x
    x = 286,475.49/605.20
  6. Step 6: Final answer
    x = 473.36

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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.