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Finding the Fourth Proportional to 565.78, 848.34 and 257.92

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Solution

The fourth proportional to 565.78, 848.34 and 257.92 is: 386.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.78 : 848.34 = 257.92 : x
  2. Step 2: Convert to fraction form
    565.78/848.34 = 257.92/x
  3. Step 3: Cross multiply
    565.78x = 848.34 × 257.92
  4. Step 4: Simplify right side
    565.78x = 218,803.85
  5. Step 5: Solve for x
    x = 218,803.85/565.78
  6. Step 6: Final answer
    x = 386.73

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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.