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Finding the Fourth Proportional to 1,192.36, 1,789.08 and 462.10

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Solution

The fourth proportional to 1,192.36, 1,789.08 and 462.10 is: 693.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.36 : 1,789.08 = 462.10 : x
  2. Step 2: Convert to fraction form
    1,192.36/1,789.08 = 462.10/x
  3. Step 3: Cross multiply
    1,192.36x = 1,789.08 × 462.10
  4. Step 4: Simplify right side
    1,192.36x = 826,733.87
  5. Step 5: Solve for x
    x = 826,733.87/1,192.36
  6. Step 6: Final answer
    x = 693.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.