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Finding the Fourth Proportional to 2,510.40, 3,765.80 and 779.02

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Solution

The fourth proportional to 2,510.40, 3,765.80 and 779.02 is: 1,168.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,510.40 : 3,765.80 = 779.02 : x
  2. Step 2: Convert to fraction form
    2,510.40/3,765.80 = 779.02/x
  3. Step 3: Cross multiply
    2,510.40x = 3,765.80 × 779.02
  4. Step 4: Simplify right side
    2,510.40x = 2,933,633.52
  5. Step 5: Solve for x
    x = 2,933,633.52/2,510.40
  6. Step 6: Final answer
    x = 1,168.59

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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.