Home / 1,316.42-1,974.80-494.68

Finding the Fourth Proportional to 1,316.42, 1,974.80 and 494.68

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Solution

The fourth proportional to 1,316.42, 1,974.80 and 494.68 is: 742.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.42 : 1,974.80 = 494.68 : x
  2. Step 2: Convert to fraction form
    1,316.42/1,974.80 = 494.68/x
  3. Step 3: Cross multiply
    1,316.42x = 1,974.80 × 494.68
  4. Step 4: Simplify right side
    1,316.42x = 976,894.06
  5. Step 5: Solve for x
    x = 976,894.06/1,316.42
  6. Step 6: Final answer
    x = 742.08

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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.