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Finding the Fourth Proportional to 425.34, 588.66 and 415.11

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Solution

The fourth proportional to 425.34, 588.66 and 415.11 is: 574.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.34 : 588.66 = 415.11 : x
  2. Step 2: Convert to fraction form
    425.34/588.66 = 415.11/x
  3. Step 3: Cross multiply
    425.34x = 588.66 × 415.11
  4. Step 4: Simplify right side
    425.34x = 244,359.30
  5. Step 5: Solve for x
    x = 244,359.30/425.34
  6. Step 6: Final answer
    x = 574.50

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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.