Home / 1,056.28-1,584.42-286.78

Finding the Fourth Proportional to 1,056.28, 1,584.42 and 286.78

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Solution

The fourth proportional to 1,056.28, 1,584.42 and 286.78 is: 430.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.28 : 1,584.42 = 286.78 : x
  2. Step 2: Convert to fraction form
    1,056.28/1,584.42 = 286.78/x
  3. Step 3: Cross multiply
    1,056.28x = 1,584.42 × 286.78
  4. Step 4: Simplify right side
    1,056.28x = 454,379.97
  5. Step 5: Solve for x
    x = 454,379.97/1,056.28
  6. Step 6: Final answer
    x = 430.17

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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.