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Finding the Fourth Proportional to 968.59, 1,451.80 and 419.95

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Solution

The fourth proportional to 968.59, 1,451.80 and 419.95 is: 629.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.59 : 1,451.80 = 419.95 : x
  2. Step 2: Convert to fraction form
    968.59/1,451.80 = 419.95/x
  3. Step 3: Cross multiply
    968.59x = 1,451.80 × 419.95
  4. Step 4: Simplify right side
    968.59x = 609,683.41
  5. Step 5: Solve for x
    x = 609,683.41/968.59
  6. Step 6: Final answer
    x = 629.45

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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.