Home / 1,025.33-1,414.95-577.16

Finding the Fourth Proportional to 1,025.33, 1,414.95 and 577.16

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Solution

The fourth proportional to 1,025.33, 1,414.95 and 577.16 is: 796.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.33 : 1,414.95 = 577.16 : x
  2. Step 2: Convert to fraction form
    1,025.33/1,414.95 = 577.16/x
  3. Step 3: Cross multiply
    1,025.33x = 1,414.95 × 577.16
  4. Step 4: Simplify right side
    1,025.33x = 816,656.08
  5. Step 5: Solve for x
    x = 816,656.08/1,025.33
  6. Step 6: Final answer
    x = 796.48

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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.