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Finding the Fourth Proportional to 755.68, 1,044 and 720.16

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Solution

The fourth proportional to 755.68, 1,044 and 720.16 is: 994.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.68 : 1,044 = 720.16 : x
  2. Step 2: Convert to fraction form
    755.68/1,044 = 720.16/x
  3. Step 3: Cross multiply
    755.68x = 1,044 × 720.16
  4. Step 4: Simplify right side
    755.68x = 751,847.04
  5. Step 5: Solve for x
    x = 751,847.04/755.68
  6. Step 6: Final answer
    x = 994.93

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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.