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Finding the Fourth Proportional to 474.82, 709.02 and 388.32

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Solution

The fourth proportional to 474.82, 709.02 and 388.32 is: 579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.82 : 709.02 = 388.32 : x
  2. Step 2: Convert to fraction form
    474.82/709.02 = 388.32/x
  3. Step 3: Cross multiply
    474.82x = 709.02 × 388.32
  4. Step 4: Simplify right side
    474.82x = 275,326.65
  5. Step 5: Solve for x
    x = 275,326.65/474.82
  6. Step 6: Final answer
    x = 579.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.