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Finding the Fourth Proportional to 488.87, 731.83 and 315.19

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Solution

The fourth proportional to 488.87, 731.83 and 315.19 is: 471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.87 : 731.83 = 315.19 : x
  2. Step 2: Convert to fraction form
    488.87/731.83 = 315.19/x
  3. Step 3: Cross multiply
    488.87x = 731.83 × 315.19
  4. Step 4: Simplify right side
    488.87x = 230,668.65
  5. Step 5: Solve for x
    x = 230,668.65/488.87
  6. Step 6: Final answer
    x = 471.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.