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Finding the Fourth Proportional to 784, 1,081.42 and 504.14

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Solution

The fourth proportional to 784, 1,081.42 and 504.14 is: 695.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    784 : 1,081.42 = 504.14 : x
  2. Step 2: Convert to fraction form
    784/1,081.42 = 504.14/x
  3. Step 3: Cross multiply
    784x = 1,081.42 × 504.14
  4. Step 4: Simplify right side
    784x = 545,187.08
  5. Step 5: Solve for x
    x = 545,187.08/784
  6. Step 6: Final answer
    x = 695.39

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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.