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Finding the Fourth Proportional to 684.52, 1,023.28 and 511.08

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Solution

The fourth proportional to 684.52, 1,023.28 and 511.08 is: 764.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.52 : 1,023.28 = 511.08 : x
  2. Step 2: Convert to fraction form
    684.52/1,023.28 = 511.08/x
  3. Step 3: Cross multiply
    684.52x = 1,023.28 × 511.08
  4. Step 4: Simplify right side
    684.52x = 522,977.94
  5. Step 5: Solve for x
    x = 522,977.94/684.52
  6. Step 6: Final answer
    x = 764.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.