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Finding the Fourth Proportional to 963.91, 1,329.64 and 899.11

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Solution

The fourth proportional to 963.91, 1,329.64 and 899.11 is: 1,240.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.91 : 1,329.64 = 899.11 : x
  2. Step 2: Convert to fraction form
    963.91/1,329.64 = 899.11/x
  3. Step 3: Cross multiply
    963.91x = 1,329.64 × 899.11
  4. Step 4: Simplify right side
    963.91x = 1,195,492.62
  5. Step 5: Solve for x
    x = 1,195,492.62/963.91
  6. Step 6: Final answer
    x = 1,240.25

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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.