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Finding the Fourth Proportional to 968.58, 1,452.56 and 420.62

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Solution

The fourth proportional to 968.58, 1,452.56 and 420.62 is: 630.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.58 : 1,452.56 = 420.62 : x
  2. Step 2: Convert to fraction form
    968.58/1,452.56 = 420.62/x
  3. Step 3: Cross multiply
    968.58x = 1,452.56 × 420.62
  4. Step 4: Simplify right side
    968.58x = 610,975.79
  5. Step 5: Solve for x
    x = 610,975.79/968.58
  6. Step 6: Final answer
    x = 630.80

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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.