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Finding the Fourth Proportional to 684.74, 1,027.28 and 319.10

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Solution

The fourth proportional to 684.74, 1,027.28 and 319.10 is: 478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.74 : 1,027.28 = 319.10 : x
  2. Step 2: Convert to fraction form
    684.74/1,027.28 = 319.10/x
  3. Step 3: Cross multiply
    684.74x = 1,027.28 × 319.10
  4. Step 4: Simplify right side
    684.74x = 327,798.32
  5. Step 5: Solve for x
    x = 327,798.32/684.74
  6. Step 6: Final answer
    x = 478.72

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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.