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Finding the Fourth Proportional to 669.91, 924.22 and 404.43

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Solution

The fourth proportional to 669.91, 924.22 and 404.43 is: 557.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.91 : 924.22 = 404.43 : x
  2. Step 2: Convert to fraction form
    669.91/924.22 = 404.43/x
  3. Step 3: Cross multiply
    669.91x = 924.22 × 404.43
  4. Step 4: Simplify right side
    669.91x = 373,782.29
  5. Step 5: Solve for x
    x = 373,782.29/669.91
  6. Step 6: Final answer
    x = 557.96

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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.