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Finding the Fourth Proportional to 423.97, 587.54 and 415.77

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Solution

The fourth proportional to 423.97, 587.54 and 415.77 is: 576.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.97 : 587.54 = 415.77 : x
  2. Step 2: Convert to fraction form
    423.97/587.54 = 415.77/x
  3. Step 3: Cross multiply
    423.97x = 587.54 × 415.77
  4. Step 4: Simplify right side
    423.97x = 244,282.55
  5. Step 5: Solve for x
    x = 244,282.55/423.97
  6. Step 6: Final answer
    x = 576.18

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.