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Finding the Fourth Proportional to 684.92, 1,025.22 and 581.24

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Solution

The fourth proportional to 684.92, 1,025.22 and 581.24 is: 870.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.92 : 1,025.22 = 581.24 : x
  2. Step 2: Convert to fraction form
    684.92/1,025.22 = 581.24/x
  3. Step 3: Cross multiply
    684.92x = 1,025.22 × 581.24
  4. Step 4: Simplify right side
    684.92x = 595,898.87
  5. Step 5: Solve for x
    x = 595,898.87/684.92
  6. Step 6: Final answer
    x = 870.03

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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.