Home / 1,257.17-1,886.20-563.75

Finding the Fourth Proportional to 1,257.17, 1,886.20 and 563.75

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Solution

The fourth proportional to 1,257.17, 1,886.20 and 563.75 is: 845.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.17 : 1,886.20 = 563.75 : x
  2. Step 2: Convert to fraction form
    1,257.17/1,886.20 = 563.75/x
  3. Step 3: Cross multiply
    1,257.17x = 1,886.20 × 563.75
  4. Step 4: Simplify right side
    1,257.17x = 1,063,345.25
  5. Step 5: Solve for x
    x = 1,063,345.25/1,257.17
  6. Step 6: Final answer
    x = 845.82

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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.