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Finding the Fourth Proportional to 1,142.78, 1,714.37 and 362.77

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Solution

The fourth proportional to 1,142.78, 1,714.37 and 362.77 is: 544.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.78 : 1,714.37 = 362.77 : x
  2. Step 2: Convert to fraction form
    1,142.78/1,714.37 = 362.77/x
  3. Step 3: Cross multiply
    1,142.78x = 1,714.37 × 362.77
  4. Step 4: Simplify right side
    1,142.78x = 621,923.79
  5. Step 5: Solve for x
    x = 621,923.79/1,142.78
  6. Step 6: Final answer
    x = 544.22

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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.