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Finding the Fourth Proportional to 1,247.45, 1,723.61 and 987.44

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Solution

The fourth proportional to 1,247.45, 1,723.61 and 987.44 is: 1,364.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.45 : 1,723.61 = 987.44 : x
  2. Step 2: Convert to fraction form
    1,247.45/1,723.61 = 987.44/x
  3. Step 3: Cross multiply
    1,247.45x = 1,723.61 × 987.44
  4. Step 4: Simplify right side
    1,247.45x = 1,701,955.31
  5. Step 5: Solve for x
    x = 1,701,955.31/1,247.45
  6. Step 6: Final answer
    x = 1,364.35

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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.