Home / 1,264.23-1,898.40-780.36

Finding the Fourth Proportional to 1,264.23, 1,898.40 and 780.36

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Solution

The fourth proportional to 1,264.23, 1,898.40 and 780.36 is: 1,171.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.23 : 1,898.40 = 780.36 : x
  2. Step 2: Convert to fraction form
    1,264.23/1,898.40 = 780.36/x
  3. Step 3: Cross multiply
    1,264.23x = 1,898.40 × 780.36
  4. Step 4: Simplify right side
    1,264.23x = 1,481,435.42
  5. Step 5: Solve for x
    x = 1,481,435.42/1,264.23
  6. Step 6: Final answer
    x = 1,171.81

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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.