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Finding the Fourth Proportional to 417.65, 576.79 and 285.48

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Solution

The fourth proportional to 417.65, 576.79 and 285.48 is: 394.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.65 : 576.79 = 285.48 : x
  2. Step 2: Convert to fraction form
    417.65/576.79 = 285.48/x
  3. Step 3: Cross multiply
    417.65x = 576.79 × 285.48
  4. Step 4: Simplify right side
    417.65x = 164,661.69
  5. Step 5: Solve for x
    x = 164,661.69/417.65
  6. Step 6: Final answer
    x = 394.26

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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.