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Finding the Fourth Proportional to 574.08, 865.38 and 478.50

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Solution

The fourth proportional to 574.08, 865.38 and 478.50 is: 721.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.08 : 865.38 = 478.50 : x
  2. Step 2: Convert to fraction form
    574.08/865.38 = 478.50/x
  3. Step 3: Cross multiply
    574.08x = 865.38 × 478.50
  4. Step 4: Simplify right side
    574.08x = 414,084.33
  5. Step 5: Solve for x
    x = 414,084.33/574.08
  6. Step 6: Final answer
    x = 721.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.