Home / 1,056.10-1,584.25-276.09

Finding the Fourth Proportional to 1,056.10, 1,584.25 and 276.09

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Solution

The fourth proportional to 1,056.10, 1,584.25 and 276.09 is: 414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.10 : 1,584.25 = 276.09 : x
  2. Step 2: Convert to fraction form
    1,056.10/1,584.25 = 276.09/x
  3. Step 3: Cross multiply
    1,056.10x = 1,584.25 × 276.09
  4. Step 4: Simplify right side
    1,056.10x = 437,394.13
  5. Step 5: Solve for x
    x = 437,394.13/1,056.10
  6. Step 6: Final answer
    x = 414.16

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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.