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Finding the Fourth Proportional to 1,256.91, 1,886.67 and 928.21

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Solution

The fourth proportional to 1,256.91, 1,886.67 and 928.21 is: 1,393.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.91 : 1,886.67 = 928.21 : x
  2. Step 2: Convert to fraction form
    1,256.91/1,886.67 = 928.21/x
  3. Step 3: Cross multiply
    1,256.91x = 1,886.67 × 928.21
  4. Step 4: Simplify right side
    1,256.91x = 1,751,237.02
  5. Step 5: Solve for x
    x = 1,751,237.02/1,256.91
  6. Step 6: Final answer
    x = 1,393.29

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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.