Home / 1,288.36-1,932.54-314.46

Finding the Fourth Proportional to 1,288.36, 1,932.54 and 314.46

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Solution

The fourth proportional to 1,288.36, 1,932.54 and 314.46 is: 471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.36 : 1,932.54 = 314.46 : x
  2. Step 2: Convert to fraction form
    1,288.36/1,932.54 = 314.46/x
  3. Step 3: Cross multiply
    1,288.36x = 1,932.54 × 314.46
  4. Step 4: Simplify right side
    1,288.36x = 607,706.53
  5. Step 5: Solve for x
    x = 607,706.53/1,288.36
  6. Step 6: Final answer
    x = 471.69

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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.