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Finding the Fourth Proportional to 968.64, 1,336.80 and 813.12

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Solution

The fourth proportional to 968.64, 1,336.80 and 813.12 is: 1,122.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.64 : 1,336.80 = 813.12 : x
  2. Step 2: Convert to fraction form
    968.64/1,336.80 = 813.12/x
  3. Step 3: Cross multiply
    968.64x = 1,336.80 × 813.12
  4. Step 4: Simplify right side
    968.64x = 1,086,978.82
  5. Step 5: Solve for x
    x = 1,086,978.82/968.64
  6. Step 6: Final answer
    x = 1,122.17

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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.