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Finding the Fourth Proportional to 684.31, 1,026.54 and 319.21

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Solution

The fourth proportional to 684.31, 1,026.54 and 319.21 is: 478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.31 : 1,026.54 = 319.21 : x
  2. Step 2: Convert to fraction form
    684.31/1,026.54 = 319.21/x
  3. Step 3: Cross multiply
    684.31x = 1,026.54 × 319.21
  4. Step 4: Simplify right side
    684.31x = 327,681.83
  5. Step 5: Solve for x
    x = 327,681.83/684.31
  6. Step 6: Final answer
    x = 478.85

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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.