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Finding the Fourth Proportional to 783.01, 1,172.48 and 759.92

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Solution

The fourth proportional to 783.01, 1,172.48 and 759.92 is: 1,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.01 : 1,172.48 = 759.92 : x
  2. Step 2: Convert to fraction form
    783.01/1,172.48 = 759.92/x
  3. Step 3: Cross multiply
    783.01x = 1,172.48 × 759.92
  4. Step 4: Simplify right side
    783.01x = 890,991.00
  5. Step 5: Solve for x
    x = 890,991.00/783.01
  6. Step 6: Final answer
    x = 1,137.91

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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.