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Finding the Fourth Proportional to 437.92, 604.82 and 410.79

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Solution

The fourth proportional to 437.92, 604.82 and 410.79 is: 567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.92 : 604.82 = 410.79 : x
  2. Step 2: Convert to fraction form
    437.92/604.82 = 410.79/x
  3. Step 3: Cross multiply
    437.92x = 604.82 × 410.79
  4. Step 4: Simplify right side
    437.92x = 248,454.01
  5. Step 5: Solve for x
    x = 248,454.01/437.92
  6. Step 6: Final answer
    x = 567.35

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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.