Home / 1,025.80-1,415.61-583.81

Finding the Fourth Proportional to 1,025.80, 1,415.61 and 583.81

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Solution

The fourth proportional to 1,025.80, 1,415.61 and 583.81 is: 805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.80 : 1,415.61 = 583.81 : x
  2. Step 2: Convert to fraction form
    1,025.80/1,415.61 = 583.81/x
  3. Step 3: Cross multiply
    1,025.80x = 1,415.61 × 583.81
  4. Step 4: Simplify right side
    1,025.80x = 826,443.74
  5. Step 5: Solve for x
    x = 826,443.74/1,025.80
  6. Step 6: Final answer
    x = 805.66

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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.