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Finding the Fourth Proportional to 757.21, 1,130.29 and 664.95

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Solution

The fourth proportional to 757.21, 1,130.29 and 664.95 is: 992.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.21 : 1,130.29 = 664.95 : x
  2. Step 2: Convert to fraction form
    757.21/1,130.29 = 664.95/x
  3. Step 3: Cross multiply
    757.21x = 1,130.29 × 664.95
  4. Step 4: Simplify right side
    757.21x = 751,583.77
  5. Step 5: Solve for x
    x = 751,583.77/757.21
  6. Step 6: Final answer
    x = 992.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.