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Finding the Fourth Proportional to 578.40, 865.44 and 322.08

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Solution

The fourth proportional to 578.40, 865.44 and 322.08 is: 481.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.40 : 865.44 = 322.08 : x
  2. Step 2: Convert to fraction form
    578.40/865.44 = 322.08/x
  3. Step 3: Cross multiply
    578.40x = 865.44 × 322.08
  4. Step 4: Simplify right side
    578.40x = 278,740.92
  5. Step 5: Solve for x
    x = 278,740.92/578.40
  6. Step 6: Final answer
    x = 481.92

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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.