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Finding the Fourth Proportional to 578.76, 866.26 and 424.65

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Solution

The fourth proportional to 578.76, 866.26 and 424.65 is: 635.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.76 : 866.26 = 424.65 : x
  2. Step 2: Convert to fraction form
    578.76/866.26 = 424.65/x
  3. Step 3: Cross multiply
    578.76x = 866.26 × 424.65
  4. Step 4: Simplify right side
    578.76x = 367,858.65
  5. Step 5: Solve for x
    x = 367,858.65/578.76
  6. Step 6: Final answer
    x = 635.60

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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.