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Finding the Fourth Proportional to 425.26, 583.31 and 418.38

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Solution

The fourth proportional to 425.26, 583.31 and 418.38 is: 573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.26 : 583.31 = 418.38 : x
  2. Step 2: Convert to fraction form
    425.26/583.31 = 418.38/x
  3. Step 3: Cross multiply
    425.26x = 583.31 × 418.38
  4. Step 4: Simplify right side
    425.26x = 244,045.24
  5. Step 5: Solve for x
    x = 244,045.24/425.26
  6. Step 6: Final answer
    x = 573.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.