Home / 1,416.19-2,123.52-685.06

Finding the Fourth Proportional to 1,416.19, 2,123.52 and 685.06

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Solution

The fourth proportional to 1,416.19, 2,123.52 and 685.06 is: 1,027.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.19 : 2,123.52 = 685.06 : x
  2. Step 2: Convert to fraction form
    1,416.19/2,123.52 = 685.06/x
  3. Step 3: Cross multiply
    1,416.19x = 2,123.52 × 685.06
  4. Step 4: Simplify right side
    1,416.19x = 1,454,738.61
  5. Step 5: Solve for x
    x = 1,454,738.61/1,416.19
  6. Step 6: Final answer
    x = 1,027.22

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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.