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Finding the Fourth Proportional to 574.80, 793.80 and 477.28

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Solution

The fourth proportional to 574.80, 793.80 and 477.28 is: 659.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    574.80 : 793.80 = 477.28 : x
  2. Step 2: Convert to fraction form
    574.80/793.80 = 477.28/x
  3. Step 3: Cross multiply
    574.80x = 793.80 × 477.28
  4. Step 4: Simplify right side
    574.80x = 378,864.86
  5. Step 5: Solve for x
    x = 378,864.86/574.80
  6. Step 6: Final answer
    x = 659.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.