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Finding the Fourth Proportional to 968.40, 1,451.60 and 382.60

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Solution

The fourth proportional to 968.40, 1,451.60 and 382.60 is: 573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.40 : 1,451.60 = 382.60 : x
  2. Step 2: Convert to fraction form
    968.40/1,451.60 = 382.60/x
  3. Step 3: Cross multiply
    968.40x = 1,451.60 × 382.60
  4. Step 4: Simplify right side
    968.40x = 555,382.16
  5. Step 5: Solve for x
    x = 555,382.16/968.40
  6. Step 6: Final answer
    x = 573.50

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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.