Home / 1,288.04-1,932.06-314.13

Finding the Fourth Proportional to 1,288.04, 1,932.06 and 314.13

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Solution

The fourth proportional to 1,288.04, 1,932.06 and 314.13 is: 471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.04 : 1,932.06 = 314.13 : x
  2. Step 2: Convert to fraction form
    1,288.04/1,932.06 = 314.13/x
  3. Step 3: Cross multiply
    1,288.04x = 1,932.06 × 314.13
  4. Step 4: Simplify right side
    1,288.04x = 606,918.01
  5. Step 5: Solve for x
    x = 606,918.01/1,288.04
  6. Step 6: Final answer
    x = 471.20

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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.