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Finding the Fourth Proportional to 578.99, 868.98 and 305.27

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Solution

The fourth proportional to 578.99, 868.98 and 305.27 is: 458.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.99 : 868.98 = 305.27 : x
  2. Step 2: Convert to fraction form
    578.99/868.98 = 305.27/x
  3. Step 3: Cross multiply
    578.99x = 868.98 × 305.27
  4. Step 4: Simplify right side
    578.99x = 265,269.18
  5. Step 5: Solve for x
    x = 265,269.18/578.99
  6. Step 6: Final answer
    x = 458.16

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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.