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Finding the Fourth Proportional to 1,188.50, 1,640.94 and 723.56

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Solution

The fourth proportional to 1,188.50, 1,640.94 and 723.56 is: 999.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,188.50 : 1,640.94 = 723.56 : x
  2. Step 2: Convert to fraction form
    1,188.50/1,640.94 = 723.56/x
  3. Step 3: Cross multiply
    1,188.50x = 1,640.94 × 723.56
  4. Step 4: Simplify right side
    1,188.50x = 1,187,318.55
  5. Step 5: Solve for x
    x = 1,187,318.55/1,188.50
  6. Step 6: Final answer
    x = 999.01

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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.