Home / 1,025.70-1,415.60-583.65

Finding the Fourth Proportional to 1,025.70, 1,415.60 and 583.65

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Solution

The fourth proportional to 1,025.70, 1,415.60 and 583.65 is: 805.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.70 : 1,415.60 = 583.65 : x
  2. Step 2: Convert to fraction form
    1,025.70/1,415.60 = 583.65/x
  3. Step 3: Cross multiply
    1,025.70x = 1,415.60 × 583.65
  4. Step 4: Simplify right side
    1,025.70x = 826,214.94
  5. Step 5: Solve for x
    x = 826,214.94/1,025.70
  6. Step 6: Final answer
    x = 805.51

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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.