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Finding the Fourth Proportional to 417.47, 576.86 and 335.25

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Solution

The fourth proportional to 417.47, 576.86 and 335.25 is: 463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.47 : 576.86 = 335.25 : x
  2. Step 2: Convert to fraction form
    417.47/576.86 = 335.25/x
  3. Step 3: Cross multiply
    417.47x = 576.86 × 335.25
  4. Step 4: Simplify right side
    417.47x = 193,390.64
  5. Step 5: Solve for x
    x = 193,390.64/417.47
  6. Step 6: Final answer
    x = 463.25

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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.