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Finding the Fourth Proportional to 968.32, 1,451.66 and 420.09

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Solution

The fourth proportional to 968.32, 1,451.66 and 420.09 is: 629.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.32 : 1,451.66 = 420.09 : x
  2. Step 2: Convert to fraction form
    968.32/1,451.66 = 420.09/x
  3. Step 3: Cross multiply
    968.32x = 1,451.66 × 420.09
  4. Step 4: Simplify right side
    968.32x = 609,829.42
  5. Step 5: Solve for x
    x = 609,829.42/968.32
  6. Step 6: Final answer
    x = 629.78

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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.