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Finding the Fourth Proportional to 1,247.86, 1,722.63 and 723.79

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Solution

The fourth proportional to 1,247.86, 1,722.63 and 723.79 is: 999.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.86 : 1,722.63 = 723.79 : x
  2. Step 2: Convert to fraction form
    1,247.86/1,722.63 = 723.79/x
  3. Step 3: Cross multiply
    1,247.86x = 1,722.63 × 723.79
  4. Step 4: Simplify right side
    1,247.86x = 1,246,822.37
  5. Step 5: Solve for x
    x = 1,246,822.37/1,247.86
  6. Step 6: Final answer
    x = 999.17

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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.