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Finding the Fourth Proportional to 1,416.66, 2,124.92 and 684.02

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Solution

The fourth proportional to 1,416.66, 2,124.92 and 684.02 is: 1,025.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.66 : 2,124.92 = 684.02 : x
  2. Step 2: Convert to fraction form
    1,416.66/2,124.92 = 684.02/x
  3. Step 3: Cross multiply
    1,416.66x = 2,124.92 × 684.02
  4. Step 4: Simplify right side
    1,416.66x = 1,453,473.73
  5. Step 5: Solve for x
    x = 1,453,473.73/1,416.66
  6. Step 6: Final answer
    x = 1,025.99

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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.