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Finding the Fourth Proportional to 1,251.49, 1,725.06 and 985.50

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Solution

The fourth proportional to 1,251.49, 1,725.06 and 985.50 is: 1,358.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,251.49 : 1,725.06 = 985.50 : x
  2. Step 2: Convert to fraction form
    1,251.49/1,725.06 = 985.50/x
  3. Step 3: Cross multiply
    1,251.49x = 1,725.06 × 985.50
  4. Step 4: Simplify right side
    1,251.49x = 1,700,041.70
  5. Step 5: Solve for x
    x = 1,700,041.70/1,251.49
  6. Step 6: Final answer
    x = 1,358.42

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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.