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Finding the Fourth Proportional to 772.69, 1,066.80 and 596.02

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Solution

The fourth proportional to 772.69, 1,066.80 and 596.02 is: 822.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.69 : 1,066.80 = 596.02 : x
  2. Step 2: Convert to fraction form
    772.69/1,066.80 = 596.02/x
  3. Step 3: Cross multiply
    772.69x = 1,066.80 × 596.02
  4. Step 4: Simplify right side
    772.69x = 635,834.14
  5. Step 5: Solve for x
    x = 635,834.14/772.69
  6. Step 6: Final answer
    x = 822.88

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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.