Home / 1,314.12-1,971.36-493.44

Finding the Fourth Proportional to 1,314.12, 1,971.36 and 493.44

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Solution

The fourth proportional to 1,314.12, 1,971.36 and 493.44 is: 740.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.12 : 1,971.36 = 493.44 : x
  2. Step 2: Convert to fraction form
    1,314.12/1,971.36 = 493.44/x
  3. Step 3: Cross multiply
    1,314.12x = 1,971.36 × 493.44
  4. Step 4: Simplify right side
    1,314.12x = 972,747.88
  5. Step 5: Solve for x
    x = 972,747.88/1,314.12
  6. Step 6: Final answer
    x = 740.23

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1.5x scale

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.