Home / 1,056.26-1,584.41-286.76

Finding the Fourth Proportional to 1,056.26, 1,584.41 and 286.76

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Solution

The fourth proportional to 1,056.26, 1,584.41 and 286.76 is: 430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.26 : 1,584.41 = 286.76 : x
  2. Step 2: Convert to fraction form
    1,056.26/1,584.41 = 286.76/x
  3. Step 3: Cross multiply
    1,056.26x = 1,584.41 × 286.76
  4. Step 4: Simplify right side
    1,056.26x = 454,343.98
  5. Step 5: Solve for x
    x = 454,343.98/1,056.26
  6. Step 6: Final answer
    x = 430.14

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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.