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Finding the Fourth Proportional to 565.09, 779.31 and 387.74

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Solution

The fourth proportional to 565.09, 779.31 and 387.74 is: 534.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.09 : 779.31 = 387.74 : x
  2. Step 2: Convert to fraction form
    565.09/779.31 = 387.74/x
  3. Step 3: Cross multiply
    565.09x = 779.31 × 387.74
  4. Step 4: Simplify right side
    565.09x = 302,167.05
  5. Step 5: Solve for x
    x = 302,167.05/565.09
  6. Step 6: Final answer
    x = 534.72

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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.