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Finding the Fourth Proportional to 744.95, 1,028.91 and 596.09

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Solution

The fourth proportional to 744.95, 1,028.91 and 596.09 is: 823.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.95 : 1,028.91 = 596.09 : x
  2. Step 2: Convert to fraction form
    744.95/1,028.91 = 596.09/x
  3. Step 3: Cross multiply
    744.95x = 1,028.91 × 596.09
  4. Step 4: Simplify right side
    744.95x = 613,324.42
  5. Step 5: Solve for x
    x = 613,324.42/744.95
  6. Step 6: Final answer
    x = 823.31

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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.