Home / 1,025.53-1,415.37-577.43

Finding the Fourth Proportional to 1,025.53, 1,415.37 and 577.43

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Solution

The fourth proportional to 1,025.53, 1,415.37 and 577.43 is: 796.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.53 : 1,415.37 = 577.43 : x
  2. Step 2: Convert to fraction form
    1,025.53/1,415.37 = 577.43/x
  3. Step 3: Cross multiply
    1,025.53x = 1,415.37 × 577.43
  4. Step 4: Simplify right side
    1,025.53x = 817,270.51
  5. Step 5: Solve for x
    x = 817,270.51/1,025.53
  6. Step 6: Final answer
    x = 796.92

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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.