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Finding the Fourth Proportional to 565.92, 848.39 and 305.78

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Solution

The fourth proportional to 565.92, 848.39 and 305.78 is: 458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.92 : 848.39 = 305.78 : x
  2. Step 2: Convert to fraction form
    565.92/848.39 = 305.78/x
  3. Step 3: Cross multiply
    565.92x = 848.39 × 305.78
  4. Step 4: Simplify right side
    565.92x = 259,414.92
  5. Step 5: Solve for x
    x = 259,414.92/565.92
  6. Step 6: Final answer
    x = 458.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.