Home / 1,315.85-1,974.65-494.78

Finding the Fourth Proportional to 1,315.85, 1,974.65 and 494.78

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Solution

The fourth proportional to 1,315.85, 1,974.65 and 494.78 is: 742.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,315.85 : 1,974.65 = 494.78 : x
  2. Step 2: Convert to fraction form
    1,315.85/1,974.65 = 494.78/x
  3. Step 3: Cross multiply
    1,315.85x = 1,974.65 × 494.78
  4. Step 4: Simplify right side
    1,315.85x = 977,004.98
  5. Step 5: Solve for x
    x = 977,004.98/1,315.85
  6. Step 6: Final answer
    x = 742.49

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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.