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Finding the Fourth Proportional to 772.79, 1,066.44 and 423.47

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Solution

The fourth proportional to 772.79, 1,066.44 and 423.47 is: 584.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.79 : 1,066.44 = 423.47 : x
  2. Step 2: Convert to fraction form
    772.79/1,066.44 = 423.47/x
  3. Step 3: Cross multiply
    772.79x = 1,066.44 × 423.47
  4. Step 4: Simplify right side
    772.79x = 451,608.01
  5. Step 5: Solve for x
    x = 451,608.01/772.79
  6. Step 6: Final answer
    x = 584.39

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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.