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Finding the Fourth Proportional to 565.87, 778.62 and 551.56

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Solution

The fourth proportional to 565.87, 778.62 and 551.56 is: 758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.87 : 778.62 = 551.56 : x
  2. Step 2: Convert to fraction form
    565.87/778.62 = 551.56/x
  3. Step 3: Cross multiply
    565.87x = 778.62 × 551.56
  4. Step 4: Simplify right side
    565.87x = 429,455.65
  5. Step 5: Solve for x
    x = 429,455.65/565.87
  6. Step 6: Final answer
    x = 758.93

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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.