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Finding the Fourth Proportional to 1,053.50, 1,577.55 and 779.18

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Solution

The fourth proportional to 1,053.50, 1,577.55 and 779.18 is: 1,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.50 : 1,577.55 = 779.18 : x
  2. Step 2: Convert to fraction form
    1,053.50/1,577.55 = 779.18/x
  3. Step 3: Cross multiply
    1,053.50x = 1,577.55 × 779.18
  4. Step 4: Simplify right side
    1,053.50x = 1,229,195.41
  5. Step 5: Solve for x
    x = 1,229,195.41/1,053.50
  6. Step 6: Final answer
    x = 1,166.77

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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.