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Finding the Fourth Proportional to 779.84, 1,171.41 and 491.48

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Solution

The fourth proportional to 779.84, 1,171.41 and 491.48 is: 738.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.84 : 1,171.41 = 491.48 : x
  2. Step 2: Convert to fraction form
    779.84/1,171.41 = 491.48/x
  3. Step 3: Cross multiply
    779.84x = 1,171.41 × 491.48
  4. Step 4: Simplify right side
    779.84x = 575,724.59
  5. Step 5: Solve for x
    x = 575,724.59/779.84
  6. Step 6: Final answer
    x = 738.26

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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.