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Finding the Fourth Proportional to 478.91, 661.72 and 354.98

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Solution

The fourth proportional to 478.91, 661.72 and 354.98 is: 490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.91 : 661.72 = 354.98 : x
  2. Step 2: Convert to fraction form
    478.91/661.72 = 354.98/x
  3. Step 3: Cross multiply
    478.91x = 661.72 × 354.98
  4. Step 4: Simplify right side
    478.91x = 234,898.80
  5. Step 5: Solve for x
    x = 234,898.80/478.91
  6. Step 6: Final answer
    x = 490.48

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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.