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Finding the Fourth Proportional to 684.12, 1,025.16 and 509.97

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Solution

The fourth proportional to 684.12, 1,025.16 and 509.97 is: 764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.12 : 1,025.16 = 509.97 : x
  2. Step 2: Convert to fraction form
    684.12/1,025.16 = 509.97/x
  3. Step 3: Cross multiply
    684.12x = 1,025.16 × 509.97
  4. Step 4: Simplify right side
    684.12x = 522,800.85
  5. Step 5: Solve for x
    x = 522,800.85/684.12
  6. Step 6: Final answer
    x = 764.19

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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.