Home / 1,458.24-2,012.40-820.23

Finding the Fourth Proportional to 1,458.24, 2,012.40 and 820.23

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Solution

The fourth proportional to 1,458.24, 2,012.40 and 820.23 is: 1,131.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458.24 : 2,012.40 = 820.23 : x
  2. Step 2: Convert to fraction form
    1,458.24/2,012.40 = 820.23/x
  3. Step 3: Cross multiply
    1,458.24x = 2,012.40 × 820.23
  4. Step 4: Simplify right side
    1,458.24x = 1,650,620.79
  5. Step 5: Solve for x
    x = 1,650,620.79/1,458.24
  6. Step 6: Final answer
    x = 1,131.93

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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.