Home / 1,025.15-1,414.78-583.09

Finding the Fourth Proportional to 1,025.15, 1,414.78 and 583.09

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Solution

The fourth proportional to 1,025.15, 1,414.78 and 583.09 is: 804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.15 : 1,414.78 = 583.09 : x
  2. Step 2: Convert to fraction form
    1,025.15/1,414.78 = 583.09/x
  3. Step 3: Cross multiply
    1,025.15x = 1,414.78 × 583.09
  4. Step 4: Simplify right side
    1,025.15x = 824,939.08
  5. Step 5: Solve for x
    x = 824,939.08/1,025.15
  6. Step 6: Final answer
    x = 804.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.