Home / 1,454.18-2,177.49-804.02

Finding the Fourth Proportional to 1,454.18, 2,177.49 and 804.02

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Solution

The fourth proportional to 1,454.18, 2,177.49 and 804.02 is: 1,203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.18 : 2,177.49 = 804.02 : x
  2. Step 2: Convert to fraction form
    1,454.18/2,177.49 = 804.02/x
  3. Step 3: Cross multiply
    1,454.18x = 2,177.49 × 804.02
  4. Step 4: Simplify right side
    1,454.18x = 1,750,745.51
  5. Step 5: Solve for x
    x = 1,750,745.51/1,454.18
  6. Step 6: Final answer
    x = 1,203.94

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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.