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Finding the Fourth Proportional to 684.68, 1,027.28 and 338.00

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Solution

The fourth proportional to 684.68, 1,027.28 and 338.00 is: 507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.68 : 1,027.28 = 338.00 : x
  2. Step 2: Convert to fraction form
    684.68/1,027.28 = 338.00/x
  3. Step 3: Cross multiply
    684.68x = 1,027.28 × 338.00
  4. Step 4: Simplify right side
    684.68x = 347,216.35
  5. Step 5: Solve for x
    x = 347,216.35/684.68
  6. Step 6: Final answer
    x = 507.13

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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.