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Finding the Fourth Proportional to 1,684, 2,324 and 985.24

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Solution

The fourth proportional to 1,684, 2,324 and 985.24 is: 1,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684 : 2,324 = 985.24 : x
  2. Step 2: Convert to fraction form
    1,684/2,324 = 985.24/x
  3. Step 3: Cross multiply
    1,684x = 2,324 × 985.24
  4. Step 4: Simplify right side
    1,684x = 2,289,697.76
  5. Step 5: Solve for x
    x = 2,289,697.76/1,684
  6. Step 6: Final answer
    x = 1,359.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.