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Finding the Fourth Proportional to 565.08, 779.84 and 316.39

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Solution

The fourth proportional to 565.08, 779.84 and 316.39 is: 436.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.08 : 779.84 = 316.39 : x
  2. Step 2: Convert to fraction form
    565.08/779.84 = 316.39/x
  3. Step 3: Cross multiply
    565.08x = 779.84 × 316.39
  4. Step 4: Simplify right side
    565.08x = 246,729.68
  5. Step 5: Solve for x
    x = 246,729.68/565.08
  6. Step 6: Final answer
    x = 436.63

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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.