Home / 1,588.13-2,382.89-767.02

Finding the Fourth Proportional to 1,588.13, 2,382.89 and 767.02

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Solution

The fourth proportional to 1,588.13, 2,382.89 and 767.02 is: 1,150.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.13 : 2,382.89 = 767.02 : x
  2. Step 2: Convert to fraction form
    1,588.13/2,382.89 = 767.02/x
  3. Step 3: Cross multiply
    1,588.13x = 2,382.89 × 767.02
  4. Step 4: Simplify right side
    1,588.13x = 1,827,725.67
  5. Step 5: Solve for x
    x = 1,827,725.67/1,588.13
  6. Step 6: Final answer
    x = 1,150.86

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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.