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Finding the Fourth Proportional to 1,549.92, 2,324.88 and 684.06

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Solution

The fourth proportional to 1,549.92, 2,324.88 and 684.06 is: 1,026.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.92 : 2,324.88 = 684.06 : x
  2. Step 2: Convert to fraction form
    1,549.92/2,324.88 = 684.06/x
  3. Step 3: Cross multiply
    1,549.92x = 2,324.88 × 684.06
  4. Step 4: Simplify right side
    1,549.92x = 1,590,357.41
  5. Step 5: Solve for x
    x = 1,590,357.41/1,549.92
  6. Step 6: Final answer
    x = 1,026.09

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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.