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Finding the Fourth Proportional to 684.64, 1,027.08 and 319.84

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Solution

The fourth proportional to 684.64, 1,027.08 and 319.84 is: 479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.64 : 1,027.08 = 319.84 : x
  2. Step 2: Convert to fraction form
    684.64/1,027.08 = 319.84/x
  3. Step 3: Cross multiply
    684.64x = 1,027.08 × 319.84
  4. Step 4: Simplify right side
    684.64x = 328,501.27
  5. Step 5: Solve for x
    x = 328,501.27/684.64
  6. Step 6: Final answer
    x = 479.82

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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.