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Finding the Fourth Proportional to 565.05, 779.76 and 316.38

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Solution

The fourth proportional to 565.05, 779.76 and 316.38 is: 436.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.05 : 779.76 = 316.38 : x
  2. Step 2: Convert to fraction form
    565.05/779.76 = 316.38/x
  3. Step 3: Cross multiply
    565.05x = 779.76 × 316.38
  4. Step 4: Simplify right side
    565.05x = 246,703.39
  5. Step 5: Solve for x
    x = 246,703.39/565.05
  6. Step 6: Final answer
    x = 436.60

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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.