Home / 1,588.12-2,382.40-548.38

Finding the Fourth Proportional to 1,588.12, 2,382.40 and 548.38

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Solution

The fourth proportional to 1,588.12, 2,382.40 and 548.38 is: 822.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.12 : 2,382.40 = 548.38 : x
  2. Step 2: Convert to fraction form
    1,588.12/2,382.40 = 548.38/x
  3. Step 3: Cross multiply
    1,588.12x = 2,382.40 × 548.38
  4. Step 4: Simplify right side
    1,588.12x = 1,306,460.51
  5. Step 5: Solve for x
    x = 1,306,460.51/1,588.12
  6. Step 6: Final answer
    x = 822.65

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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.