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Finding the Fourth Proportional to 759.07, 1,044.80 and 633.32

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Solution

The fourth proportional to 759.07, 1,044.80 and 633.32 is: 871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.07 : 1,044.80 = 633.32 : x
  2. Step 2: Convert to fraction form
    759.07/1,044.80 = 633.32/x
  3. Step 3: Cross multiply
    759.07x = 1,044.80 × 633.32
  4. Step 4: Simplify right side
    759.07x = 661,690.64
  5. Step 5: Solve for x
    x = 661,690.64/759.07
  6. Step 6: Final answer
    x = 871.71

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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.