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Finding the Fourth Proportional to 420.31, 584.05 and 415.86

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Solution

The fourth proportional to 420.31, 584.05 and 415.86 is: 577.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.31 : 584.05 = 415.86 : x
  2. Step 2: Convert to fraction form
    420.31/584.05 = 415.86/x
  3. Step 3: Cross multiply
    420.31x = 584.05 × 415.86
  4. Step 4: Simplify right side
    420.31x = 242,883.03
  5. Step 5: Solve for x
    x = 242,883.03/420.31
  6. Step 6: Final answer
    x = 577.87

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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.