Home / 1,316.46-1,974.72-450.78

Finding the Fourth Proportional to 1,316.46, 1,974.72 and 450.78

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Solution

The fourth proportional to 1,316.46, 1,974.72 and 450.78 is: 676.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.46 : 1,974.72 = 450.78 : x
  2. Step 2: Convert to fraction form
    1,316.46/1,974.72 = 450.78/x
  3. Step 3: Cross multiply
    1,316.46x = 1,974.72 × 450.78
  4. Step 4: Simplify right side
    1,316.46x = 890,164.28
  5. Step 5: Solve for x
    x = 890,164.28/1,316.46
  6. Step 6: Final answer
    x = 676.18

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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.