Home / 1,314.80-1,972.54-493.13

Finding the Fourth Proportional to 1,314.80, 1,972.54 and 493.13

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Solution

The fourth proportional to 1,314.80, 1,972.54 and 493.13 is: 739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.80 : 1,972.54 = 493.13 : x
  2. Step 2: Convert to fraction form
    1,314.80/1,972.54 = 493.13/x
  3. Step 3: Cross multiply
    1,314.80x = 1,972.54 × 493.13
  4. Step 4: Simplify right side
    1,314.80x = 972,722.35
  5. Step 5: Solve for x
    x = 972,722.35/1,314.80
  6. Step 6: Final answer
    x = 739.83

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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.