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Finding the Fourth Proportional to 565.12, 846.46 and 381.50

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Solution

The fourth proportional to 565.12, 846.46 and 381.50 is: 571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.12 : 846.46 = 381.50 : x
  2. Step 2: Convert to fraction form
    565.12/846.46 = 381.50/x
  3. Step 3: Cross multiply
    565.12x = 846.46 × 381.50
  4. Step 4: Simplify right side
    565.12x = 322,925.65
  5. Step 5: Solve for x
    x = 322,925.65/565.12
  6. Step 6: Final answer
    x = 571.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.