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Finding the Fourth Proportional to 578.23, 867.77 and 424.56

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Solution

The fourth proportional to 578.23, 867.77 and 424.56 is: 637.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.23 : 867.77 = 424.56 : x
  2. Step 2: Convert to fraction form
    578.23/867.77 = 424.56/x
  3. Step 3: Cross multiply
    578.23x = 867.77 × 424.56
  4. Step 4: Simplify right side
    578.23x = 368,420.43
  5. Step 5: Solve for x
    x = 368,420.43/578.23
  6. Step 6: Final answer
    x = 637.15

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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.