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Finding the Fourth Proportional to 779.82, 1,167.66 and 471.26

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Solution

The fourth proportional to 779.82, 1,167.66 and 471.26 is: 705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.82 : 1,167.66 = 471.26 : x
  2. Step 2: Convert to fraction form
    779.82/1,167.66 = 471.26/x
  3. Step 3: Cross multiply
    779.82x = 1,167.66 × 471.26
  4. Step 4: Simplify right side
    779.82x = 550,269.71
  5. Step 5: Solve for x
    x = 550,269.71/779.82
  6. Step 6: Final answer
    x = 705.63

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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.