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Finding the Fourth Proportional to 1,256.60, 1,881.24 and 768.17

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Solution

The fourth proportional to 1,256.60, 1,881.24 and 768.17 is: 1,150.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.60 : 1,881.24 = 768.17 : x
  2. Step 2: Convert to fraction form
    1,256.60/1,881.24 = 768.17/x
  3. Step 3: Cross multiply
    1,256.60x = 1,881.24 × 768.17
  4. Step 4: Simplify right side
    1,256.60x = 1,445,102.72
  5. Step 5: Solve for x
    x = 1,445,102.72/1,256.60
  6. Step 6: Final answer
    x = 1,150.01

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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.