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Finding the Fourth Proportional to 963.88, 1,451.11 and 709.48

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Solution

The fourth proportional to 963.88, 1,451.11 and 709.48 is: 1,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.88 : 1,451.11 = 709.48 : x
  2. Step 2: Convert to fraction form
    963.88/1,451.11 = 709.48/x
  3. Step 3: Cross multiply
    963.88x = 1,451.11 × 709.48
  4. Step 4: Simplify right side
    963.88x = 1,029,533.52
  5. Step 5: Solve for x
    x = 1,029,533.52/963.88
  6. Step 6: Final answer
    x = 1,068.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.