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Finding the Fourth Proportional to 901.26, 1,353.78 and 780.84

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Solution

The fourth proportional to 901.26, 1,353.78 and 780.84 is: 1,172.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.26 : 1,353.78 = 780.84 : x
  2. Step 2: Convert to fraction form
    901.26/1,353.78 = 780.84/x
  3. Step 3: Cross multiply
    901.26x = 1,353.78 × 780.84
  4. Step 4: Simplify right side
    901.26x = 1,057,085.58
  5. Step 5: Solve for x
    x = 1,057,085.58/901.26
  6. Step 6: Final answer
    x = 1,172.90

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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.