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Finding the Fourth Proportional to 784.39, 1,081.73 and 504.13

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Solution

The fourth proportional to 784.39, 1,081.73 and 504.13 is: 695.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.39 : 1,081.73 = 504.13 : x
  2. Step 2: Convert to fraction form
    784.39/1,081.73 = 504.13/x
  3. Step 3: Cross multiply
    784.39x = 1,081.73 × 504.13
  4. Step 4: Simplify right side
    784.39x = 545,332.54
  5. Step 5: Solve for x
    x = 545,332.54/784.39
  6. Step 6: Final answer
    x = 695.23

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Double scale
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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.