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Finding the Fourth Proportional to 565.12, 846.06 and 420.40

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Solution

The fourth proportional to 565.12, 846.06 and 420.40 is: 629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.12 : 846.06 = 420.40 : x
  2. Step 2: Convert to fraction form
    565.12/846.06 = 420.40/x
  3. Step 3: Cross multiply
    565.12x = 846.06 × 420.40
  4. Step 4: Simplify right side
    565.12x = 355,683.62
  5. Step 5: Solve for x
    x = 355,683.62/565.12
  6. Step 6: Final answer
    x = 629.39

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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.