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Finding the Fourth Proportional to 565.96, 848.84 and 257.80

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Solution

The fourth proportional to 565.96, 848.84 and 257.80 is: 386.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.96 : 848.84 = 257.80 : x
  2. Step 2: Convert to fraction form
    565.96/848.84 = 257.80/x
  3. Step 3: Cross multiply
    565.96x = 848.84 × 257.80
  4. Step 4: Simplify right side
    565.96x = 218,830.95
  5. Step 5: Solve for x
    x = 218,830.95/565.96
  6. Step 6: Final answer
    x = 386.65

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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.