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Finding the Fourth Proportional to 1,173.92, 1,619.99 and 642.79

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Solution

The fourth proportional to 1,173.92, 1,619.99 and 642.79 is: 887.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.92 : 1,619.99 = 642.79 : x
  2. Step 2: Convert to fraction form
    1,173.92/1,619.99 = 642.79/x
  3. Step 3: Cross multiply
    1,173.92x = 1,619.99 × 642.79
  4. Step 4: Simplify right side
    1,173.92x = 1,041,313.37
  5. Step 5: Solve for x
    x = 1,041,313.37/1,173.92
  6. Step 6: Final answer
    x = 887.04

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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.