Home / 1,510.82-2,263.26-780.20

Finding the Fourth Proportional to 1,510.82, 2,263.26 and 780.20

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Solution

The fourth proportional to 1,510.82, 2,263.26 and 780.20 is: 1,168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.82 : 2,263.26 = 780.20 : x
  2. Step 2: Convert to fraction form
    1,510.82/2,263.26 = 780.20/x
  3. Step 3: Cross multiply
    1,510.82x = 2,263.26 × 780.20
  4. Step 4: Simplify right side
    1,510.82x = 1,765,795.45
  5. Step 5: Solve for x
    x = 1,765,795.45/1,510.82
  6. Step 6: Final answer
    x = 1,168.77

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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.