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Finding the Fourth Proportional to 1,141.78, 1,712.84 and 401.59

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Solution

The fourth proportional to 1,141.78, 1,712.84 and 401.59 is: 602.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.78 : 1,712.84 = 401.59 : x
  2. Step 2: Convert to fraction form
    1,141.78/1,712.84 = 401.59/x
  3. Step 3: Cross multiply
    1,141.78x = 1,712.84 × 401.59
  4. Step 4: Simplify right side
    1,141.78x = 687,859.42
  5. Step 5: Solve for x
    x = 687,859.42/1,141.78
  6. Step 6: Final answer
    x = 602.44

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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.