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Finding the Fourth Proportional to 565.19, 842.81 and 520.31

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Solution

The fourth proportional to 565.19, 842.81 and 520.31 is: 775.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.19 : 842.81 = 520.31 : x
  2. Step 2: Convert to fraction form
    565.19/842.81 = 520.31/x
  3. Step 3: Cross multiply
    565.19x = 842.81 × 520.31
  4. Step 4: Simplify right side
    565.19x = 438,515.66
  5. Step 5: Solve for x
    x = 438,515.66/565.19
  6. Step 6: Final answer
    x = 775.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.