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Finding the Fourth Proportional to 968.91, 1,450.80 and 813.66

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Solution

The fourth proportional to 968.91, 1,450.80 and 813.66 is: 1,218.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.91 : 1,450.80 = 813.66 : x
  2. Step 2: Convert to fraction form
    968.91/1,450.80 = 813.66/x
  3. Step 3: Cross multiply
    968.91x = 1,450.80 × 813.66
  4. Step 4: Simplify right side
    968.91x = 1,180,457.93
  5. Step 5: Solve for x
    x = 1,180,457.93/968.91
  6. Step 6: Final answer
    x = 1,218.34

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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.