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Finding the Fourth Proportional to 1,169.76, 1,756.56 and 780.96

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Solution

The fourth proportional to 1,169.76, 1,756.56 and 780.96 is: 1,172.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.76 : 1,756.56 = 780.96 : x
  2. Step 2: Convert to fraction form
    1,169.76/1,756.56 = 780.96/x
  3. Step 3: Cross multiply
    1,169.76x = 1,756.56 × 780.96
  4. Step 4: Simplify right side
    1,169.76x = 1,371,803.10
  5. Step 5: Solve for x
    x = 1,371,803.10/1,169.76
  6. Step 6: Final answer
    x = 1,172.72

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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.