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Finding the Fourth Proportional to 684.77, 1,027.04 and 319.59

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Solution

The fourth proportional to 684.77, 1,027.04 and 319.59 is: 479.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.77 : 1,027.04 = 319.59 : x
  2. Step 2: Convert to fraction form
    684.77/1,027.04 = 319.59/x
  3. Step 3: Cross multiply
    684.77x = 1,027.04 × 319.59
  4. Step 4: Simplify right side
    684.77x = 328,230.12
  5. Step 5: Solve for x
    x = 328,230.12/684.77
  6. Step 6: Final answer
    x = 479.33

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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.