Home / 1,316.35-1,974.13-494.02

Finding the Fourth Proportional to 1,316.35, 1,974.13 and 494.02

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Solution

The fourth proportional to 1,316.35, 1,974.13 and 494.02 is: 740.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.35 : 1,974.13 = 494.02 : x
  2. Step 2: Convert to fraction form
    1,316.35/1,974.13 = 494.02/x
  3. Step 3: Cross multiply
    1,316.35x = 1,974.13 × 494.02
  4. Step 4: Simplify right side
    1,316.35x = 975,259.70
  5. Step 5: Solve for x
    x = 975,259.70/1,316.35
  6. Step 6: Final answer
    x = 740.88

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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.