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Finding the Fourth Proportional to 757.93, 1,046.24 and 583.78

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Solution

The fourth proportional to 757.93, 1,046.24 and 583.78 is: 805.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.93 : 1,046.24 = 583.78 : x
  2. Step 2: Convert to fraction form
    757.93/1,046.24 = 583.78/x
  3. Step 3: Cross multiply
    757.93x = 1,046.24 × 583.78
  4. Step 4: Simplify right side
    757.93x = 610,773.99
  5. Step 5: Solve for x
    x = 610,773.99/757.93
  6. Step 6: Final answer
    x = 805.84

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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.