Home / 1,314.23-1,971.40-492.35

Finding the Fourth Proportional to 1,314.23, 1,971.40 and 492.35

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Solution

The fourth proportional to 1,314.23, 1,971.40 and 492.35 is: 738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.23 : 1,971.40 = 492.35 : x
  2. Step 2: Convert to fraction form
    1,314.23/1,971.40 = 492.35/x
  3. Step 3: Cross multiply
    1,314.23x = 1,971.40 × 492.35
  4. Step 4: Simplify right side
    1,314.23x = 970,618.79
  5. Step 5: Solve for x
    x = 970,618.79/1,314.23
  6. Step 6: Final answer
    x = 738.55

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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.