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Finding the Fourth Proportional to 565.76, 846.86 and 419.42

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Solution

The fourth proportional to 565.76, 846.86 and 419.42 is: 627.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.76 : 846.86 = 419.42 : x
  2. Step 2: Convert to fraction form
    565.76/846.86 = 419.42/x
  3. Step 3: Cross multiply
    565.76x = 846.86 × 419.42
  4. Step 4: Simplify right side
    565.76x = 355,190.02
  5. Step 5: Solve for x
    x = 355,190.02/565.76
  6. Step 6: Final answer
    x = 627.81

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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.