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Finding the Fourth Proportional to 442.88, 661.12 and 404.48

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Solution

The fourth proportional to 442.88, 661.12 and 404.48 is: 603.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    442.88 : 661.12 = 404.48 : x
  2. Step 2: Convert to fraction form
    442.88/661.12 = 404.48/x
  3. Step 3: Cross multiply
    442.88x = 661.12 × 404.48
  4. Step 4: Simplify right side
    442.88x = 267,409.82
  5. Step 5: Solve for x
    x = 267,409.82/442.88
  6. Step 6: Final answer
    x = 603.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.