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Finding the Fourth Proportional to 578.58, 866.64 and 463.14

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Solution

The fourth proportional to 578.58, 866.64 and 463.14 is: 693.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.58 : 866.64 = 463.14 : x
  2. Step 2: Convert to fraction form
    578.58/866.64 = 463.14/x
  3. Step 3: Cross multiply
    578.58x = 866.64 × 463.14
  4. Step 4: Simplify right side
    578.58x = 401,375.65
  5. Step 5: Solve for x
    x = 401,375.65/578.58
  6. Step 6: Final answer
    x = 693.73

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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.