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Finding the Fourth Proportional to 744.94, 1,029.26 and 588.77

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Solution

The fourth proportional to 744.94, 1,029.26 and 588.77 is: 813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.94 : 1,029.26 = 588.77 : x
  2. Step 2: Convert to fraction form
    744.94/1,029.26 = 588.77/x
  3. Step 3: Cross multiply
    744.94x = 1,029.26 × 588.77
  4. Step 4: Simplify right side
    744.94x = 605,995.11
  5. Step 5: Solve for x
    x = 605,995.11/744.94
  6. Step 6: Final answer
    x = 813.48

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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.