Home / 1,025.23-1,536.37-585.57

Finding the Fourth Proportional to 1,025.23, 1,536.37 and 585.57

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Solution

The fourth proportional to 1,025.23, 1,536.37 and 585.57 is: 877.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.23 : 1,536.37 = 585.57 : x
  2. Step 2: Convert to fraction form
    1,025.23/1,536.37 = 585.57/x
  3. Step 3: Cross multiply
    1,025.23x = 1,536.37 × 585.57
  4. Step 4: Simplify right side
    1,025.23x = 899,641.57
  5. Step 5: Solve for x
    x = 899,641.57/1,025.23
  6. Step 6: Final answer
    x = 877.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.