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Finding the Fourth Proportional to 565.56, 781.22 and 455.45

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Solution

The fourth proportional to 565.56, 781.22 and 455.45 is: 629.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.56 : 781.22 = 455.45 : x
  2. Step 2: Convert to fraction form
    565.56/781.22 = 455.45/x
  3. Step 3: Cross multiply
    565.56x = 781.22 × 455.45
  4. Step 4: Simplify right side
    565.56x = 355,806.65
  5. Step 5: Solve for x
    x = 355,806.65/565.56
  6. Step 6: Final answer
    x = 629.12

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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.