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Finding the Fourth Proportional to 744.59, 1,028.04 and 665.66

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Solution

The fourth proportional to 744.59, 1,028.04 and 665.66 is: 919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.59 : 1,028.04 = 665.66 : x
  2. Step 2: Convert to fraction form
    744.59/1,028.04 = 665.66/x
  3. Step 3: Cross multiply
    744.59x = 1,028.04 × 665.66
  4. Step 4: Simplify right side
    744.59x = 684,319.97
  5. Step 5: Solve for x
    x = 684,319.97/744.59
  6. Step 6: Final answer
    x = 919.05

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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.