Home / 1,201.80-1,801.40-584.13

Finding the Fourth Proportional to 1,201.80, 1,801.40 and 584.13

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Solution

The fourth proportional to 1,201.80, 1,801.40 and 584.13 is: 875.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.80 : 1,801.40 = 584.13 : x
  2. Step 2: Convert to fraction form
    1,201.80/1,801.40 = 584.13/x
  3. Step 3: Cross multiply
    1,201.80x = 1,801.40 × 584.13
  4. Step 4: Simplify right side
    1,201.80x = 1,052,248.86
  5. Step 5: Solve for x
    x = 1,052,248.86/1,201.80
  6. Step 6: Final answer
    x = 875.56

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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.