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Finding the Fourth Proportional to 967.96, 1,452.16 and 420.23

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Solution

The fourth proportional to 967.96, 1,452.16 and 420.23 is: 630.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.96 : 1,452.16 = 420.23 : x
  2. Step 2: Convert to fraction form
    967.96/1,452.16 = 420.23/x
  3. Step 3: Cross multiply
    967.96x = 1,452.16 × 420.23
  4. Step 4: Simplify right side
    967.96x = 610,241.20
  5. Step 5: Solve for x
    x = 610,241.20/967.96
  6. Step 6: Final answer
    x = 630.44

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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.