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Finding the Fourth Proportional to 478.24, 657.90 and 418.96

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Solution

The fourth proportional to 478.24, 657.90 and 418.96 is: 576.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.24 : 657.90 = 418.96 : x
  2. Step 2: Convert to fraction form
    478.24/657.90 = 418.96/x
  3. Step 3: Cross multiply
    478.24x = 657.90 × 418.96
  4. Step 4: Simplify right side
    478.24x = 275,633.78
  5. Step 5: Solve for x
    x = 275,633.78/478.24
  6. Step 6: Final answer
    x = 576.35

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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.