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Finding the Fourth Proportional to 784.42, 1,081.96 and 504.23

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Solution

The fourth proportional to 784.42, 1,081.96 and 504.23 is: 695.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.42 : 1,081.96 = 504.23 : x
  2. Step 2: Convert to fraction form
    784.42/1,081.96 = 504.23/x
  3. Step 3: Cross multiply
    784.42x = 1,081.96 × 504.23
  4. Step 4: Simplify right side
    784.42x = 545,550.02
  5. Step 5: Solve for x
    x = 545,550.02/784.42
  6. Step 6: Final answer
    x = 695.48

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Double scale
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1.5x scale

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.