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Finding the Fourth Proportional to 1,192.01, 1,787.74 and 461.39

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Solution

The fourth proportional to 1,192.01, 1,787.74 and 461.39 is: 691.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.01 : 1,787.74 = 461.39 : x
  2. Step 2: Convert to fraction form
    1,192.01/1,787.74 = 461.39/x
  3. Step 3: Cross multiply
    1,192.01x = 1,787.74 × 461.39
  4. Step 4: Simplify right side
    1,192.01x = 824,845.36
  5. Step 5: Solve for x
    x = 824,845.36/1,192.01
  6. Step 6: Final answer
    x = 691.98

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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.