Home / 1,315.38-1,974.09-494.40

Finding the Fourth Proportional to 1,315.38, 1,974.09 and 494.40

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Solution

The fourth proportional to 1,315.38, 1,974.09 and 494.40 is: 741.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.38 : 1,974.09 = 494.40 : x
  2. Step 2: Convert to fraction form
    1,315.38/1,974.09 = 494.40/x
  3. Step 3: Cross multiply
    1,315.38x = 1,974.09 × 494.40
  4. Step 4: Simplify right side
    1,315.38x = 975,990.10
  5. Step 5: Solve for x
    x = 975,990.10/1,315.38
  6. Step 6: Final answer
    x = 741.98

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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.