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Finding the Fourth Proportional to 759.64, 1,047.96 and 584.68

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Solution

The fourth proportional to 759.64, 1,047.96 and 584.68 is: 806.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    759.64 : 1,047.96 = 584.68 : x
  2. Step 2: Convert to fraction form
    759.64/1,047.96 = 584.68/x
  3. Step 3: Cross multiply
    759.64x = 1,047.96 × 584.68
  4. Step 4: Simplify right side
    759.64x = 612,721.25
  5. Step 5: Solve for x
    x = 612,721.25/759.64
  6. Step 6: Final answer
    x = 806.59

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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.