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Finding the Fourth Proportional to 1,146.20, 1,717.62 and 684.08

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Solution

The fourth proportional to 1,146.20, 1,717.62 and 684.08 is: 1,025.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.20 : 1,717.62 = 684.08 : x
  2. Step 2: Convert to fraction form
    1,146.20/1,717.62 = 684.08/x
  3. Step 3: Cross multiply
    1,146.20x = 1,717.62 × 684.08
  4. Step 4: Simplify right side
    1,146.20x = 1,174,989.49
  5. Step 5: Solve for x
    x = 1,174,989.49/1,146.20
  6. Step 6: Final answer
    x = 1,025.12

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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.