Home / 1,310.74-1,966.34-386.30

Finding the Fourth Proportional to 1,310.74, 1,966.34 and 386.30

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Solution

The fourth proportional to 1,310.74, 1,966.34 and 386.30 is: 579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.74 : 1,966.34 = 386.30 : x
  2. Step 2: Convert to fraction form
    1,310.74/1,966.34 = 386.30/x
  3. Step 3: Cross multiply
    1,310.74x = 1,966.34 × 386.30
  4. Step 4: Simplify right side
    1,310.74x = 759,597.14
  5. Step 5: Solve for x
    x = 759,597.14/1,310.74
  6. Step 6: Final answer
    x = 579.52

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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.