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Finding the Fourth Proportional to 565.38, 846.86 and 420.80

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Solution

The fourth proportional to 565.38, 846.86 and 420.80 is: 630.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.38 : 846.86 = 420.80 : x
  2. Step 2: Convert to fraction form
    565.38/846.86 = 420.80/x
  3. Step 3: Cross multiply
    565.38x = 846.86 × 420.80
  4. Step 4: Simplify right side
    565.38x = 356,352.35
  5. Step 5: Solve for x
    x = 356,352.35/565.38
  6. Step 6: Final answer
    x = 630.29

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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.