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Finding the Fourth Proportional to 909.09, 1,365.48 and 780.17

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Solution

The fourth proportional to 909.09, 1,365.48 and 780.17 is: 1,171.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    909.09 : 1,365.48 = 780.17 : x
  2. Step 2: Convert to fraction form
    909.09/1,365.48 = 780.17/x
  3. Step 3: Cross multiply
    909.09x = 1,365.48 × 780.17
  4. Step 4: Simplify right side
    909.09x = 1,065,299.70
  5. Step 5: Solve for x
    x = 1,065,299.70/909.09
  6. Step 6: Final answer
    x = 1,171.83

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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.