Home / 820.04-1,131.35-540.24

Finding the Fourth Proportional to 820.04, 1,131.35 and 540.24

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Solution

The fourth proportional to 820.04, 1,131.35 and 540.24 is: 745.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.04 : 1,131.35 = 540.24 : x
  2. Step 2: Convert to fraction form
    820.04/1,131.35 = 540.24/x
  3. Step 3: Cross multiply
    820.04x = 1,131.35 × 540.24
  4. Step 4: Simplify right side
    820.04x = 611,197.82
  5. Step 5: Solve for x
    x = 611,197.82/820.04
  6. Step 6: Final answer
    x = 745.33

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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.