Home / 1,025.62-1,415.40-583.52

Finding the Fourth Proportional to 1,025.62, 1,415.40 and 583.52

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Solution

The fourth proportional to 1,025.62, 1,415.40 and 583.52 is: 805.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.62 : 1,415.40 = 583.52 : x
  2. Step 2: Convert to fraction form
    1,025.62/1,415.40 = 583.52/x
  3. Step 3: Cross multiply
    1,025.62x = 1,415.40 × 583.52
  4. Step 4: Simplify right side
    1,025.62x = 825,914.21
  5. Step 5: Solve for x
    x = 825,914.21/1,025.62
  6. Step 6: Final answer
    x = 805.28

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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.