Home / 1,025.50-1,415.32-583.51

Finding the Fourth Proportional to 1,025.50, 1,415.32 and 583.51

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Solution

The fourth proportional to 1,025.50, 1,415.32 and 583.51 is: 805.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.50 : 1,415.32 = 583.51 : x
  2. Step 2: Convert to fraction form
    1,025.50/1,415.32 = 583.51/x
  3. Step 3: Cross multiply
    1,025.50x = 1,415.32 × 583.51
  4. Step 4: Simplify right side
    1,025.50x = 825,853.37
  5. Step 5: Solve for x
    x = 825,853.37/1,025.50
  6. Step 6: Final answer
    x = 805.32

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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.