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Finding the Fourth Proportional to 968.02, 1,331.85 and 836.80

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Solution

The fourth proportional to 968.02, 1,331.85 and 836.80 is: 1,151.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.02 : 1,331.85 = 836.80 : x
  2. Step 2: Convert to fraction form
    968.02/1,331.85 = 836.80/x
  3. Step 3: Cross multiply
    968.02x = 1,331.85 × 836.80
  4. Step 4: Simplify right side
    968.02x = 1,114,492.08
  5. Step 5: Solve for x
    x = 1,114,492.08/968.02
  6. Step 6: Final answer
    x = 1,151.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.