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Finding the Fourth Proportional to 565.75, 780.83 and 332.83

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Solution

The fourth proportional to 565.75, 780.83 and 332.83 is: 459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.75 : 780.83 = 332.83 : x
  2. Step 2: Convert to fraction form
    565.75/780.83 = 332.83/x
  3. Step 3: Cross multiply
    565.75x = 780.83 × 332.83
  4. Step 4: Simplify right side
    565.75x = 259,883.65
  5. Step 5: Solve for x
    x = 259,883.65/565.75
  6. Step 6: Final answer
    x = 459.36

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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.