Home / 1,192.83-1,789.14-402.19

Finding the Fourth Proportional to 1,192.83, 1,789.14 and 402.19

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Solution

The fourth proportional to 1,192.83, 1,789.14 and 402.19 is: 603.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.83 : 1,789.14 = 402.19 : x
  2. Step 2: Convert to fraction form
    1,192.83/1,789.14 = 402.19/x
  3. Step 3: Cross multiply
    1,192.83x = 1,789.14 × 402.19
  4. Step 4: Simplify right side
    1,192.83x = 719,574.22
  5. Step 5: Solve for x
    x = 719,574.22/1,192.83
  6. Step 6: Final answer
    x = 603.25

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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.