Home / 1,204.29-1,807.04-942.66

Finding the Fourth Proportional to 1,204.29, 1,807.04 and 942.66

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Solution

The fourth proportional to 1,204.29, 1,807.04 and 942.66 is: 1,414.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.29 : 1,807.04 = 942.66 : x
  2. Step 2: Convert to fraction form
    1,204.29/1,807.04 = 942.66/x
  3. Step 3: Cross multiply
    1,204.29x = 1,807.04 × 942.66
  4. Step 4: Simplify right side
    1,204.29x = 1,703,426.68
  5. Step 5: Solve for x
    x = 1,703,426.68/1,204.29
  6. Step 6: Final answer
    x = 1,414.47

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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.