Home / 780.24-1,076.73-426.17

Finding the Fourth Proportional to 780.24, 1,076.73 and 426.17

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Solution

The fourth proportional to 780.24, 1,076.73 and 426.17 is: 588.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.24 : 1,076.73 = 426.17 : x
  2. Step 2: Convert to fraction form
    780.24/1,076.73 = 426.17/x
  3. Step 3: Cross multiply
    780.24x = 1,076.73 × 426.17
  4. Step 4: Simplify right side
    780.24x = 458,864.64
  5. Step 5: Solve for x
    x = 458,864.64/780.24
  6. Step 6: Final answer
    x = 588.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.