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Finding the Fourth Proportional to 1,264.86, 1,889.10 and 1,256.58

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Solution

The fourth proportional to 1,264.86, 1,889.10 and 1,256.58 is: 1,876.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.86 : 1,889.10 = 1,256.58 : x
  2. Step 2: Convert to fraction form
    1,264.86/1,889.10 = 1,256.58/x
  3. Step 3: Cross multiply
    1,264.86x = 1,889.10 × 1,256.58
  4. Step 4: Simplify right side
    1,264.86x = 2,373,805.28
  5. Step 5: Solve for x
    x = 2,373,805.28/1,264.86
  6. Step 6: Final answer
    x = 1,876.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.