Home / 1,310.64-1,966.29-386.16

Finding the Fourth Proportional to 1,310.64, 1,966.29 and 386.16

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Solution

The fourth proportional to 1,310.64, 1,966.29 and 386.16 is: 579.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.64 : 1,966.29 = 386.16 : x
  2. Step 2: Convert to fraction form
    1,310.64/1,966.29 = 386.16/x
  3. Step 3: Cross multiply
    1,310.64x = 1,966.29 × 386.16
  4. Step 4: Simplify right side
    1,310.64x = 759,292.71
  5. Step 5: Solve for x
    x = 759,292.71/1,310.64
  6. Step 6: Final answer
    x = 579.33

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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.