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Finding the Fourth Proportional to 784.77, 1,169.94 and 723.12

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Solution

The fourth proportional to 784.77, 1,169.94 and 723.12 is: 1,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.77 : 1,169.94 = 723.12 : x
  2. Step 2: Convert to fraction form
    784.77/1,169.94 = 723.12/x
  3. Step 3: Cross multiply
    784.77x = 1,169.94 × 723.12
  4. Step 4: Simplify right side
    784.77x = 846,007.01
  5. Step 5: Solve for x
    x = 846,007.01/784.77
  6. Step 6: Final answer
    x = 1,078.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.