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Finding the Fourth Proportional to 684.75, 1,027.49 and 337.98

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Solution

The fourth proportional to 684.75, 1,027.49 and 337.98 is: 507.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.75 : 1,027.49 = 337.98 : x
  2. Step 2: Convert to fraction form
    684.75/1,027.49 = 337.98/x
  3. Step 3: Cross multiply
    684.75x = 1,027.49 × 337.98
  4. Step 4: Simplify right side
    684.75x = 347,269.38
  5. Step 5: Solve for x
    x = 347,269.38/684.75
  6. Step 6: Final answer
    x = 507.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.