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Finding the Fourth Proportional to 1,732.80, 2,391.24 and 946.80

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Solution

The fourth proportional to 1,732.80, 2,391.24 and 946.80 is: 1,306.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.80 : 2,391.24 = 946.80 : x
  2. Step 2: Convert to fraction form
    1,732.80/2,391.24 = 946.80/x
  3. Step 3: Cross multiply
    1,732.80x = 2,391.24 × 946.80
  4. Step 4: Simplify right side
    1,732.80x = 2,264,026.03
  5. Step 5: Solve for x
    x = 2,264,026.03/1,732.80
  6. Step 6: Final answer
    x = 1,306.57

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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.