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Finding the Fourth Proportional to 1,758.97, 2,638.49 and 460.47

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Solution

The fourth proportional to 1,758.97, 2,638.49 and 460.47 is: 690.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.97 : 2,638.49 = 460.47 : x
  2. Step 2: Convert to fraction form
    1,758.97/2,638.49 = 460.47/x
  3. Step 3: Cross multiply
    1,758.97x = 2,638.49 × 460.47
  4. Step 4: Simplify right side
    1,758.97x = 1,214,943.19
  5. Step 5: Solve for x
    x = 1,214,943.19/1,758.97
  6. Step 6: Final answer
    x = 690.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.