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Finding the Fourth Proportional to 684.28, 1,025.34 and 531.10

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Solution

The fourth proportional to 684.28, 1,025.34 and 531.10 is: 795.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.28 : 1,025.34 = 531.10 : x
  2. Step 2: Convert to fraction form
    684.28/1,025.34 = 531.10/x
  3. Step 3: Cross multiply
    684.28x = 1,025.34 × 531.10
  4. Step 4: Simplify right side
    684.28x = 544,558.07
  5. Step 5: Solve for x
    x = 544,558.07/684.28
  6. Step 6: Final answer
    x = 795.81

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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.