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Finding the Fourth Proportional to 946, 1,305.48 and 553.29

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Solution

The fourth proportional to 946, 1,305.48 and 553.29 is: 763.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    946 : 1,305.48 = 553.29 : x
  2. Step 2: Convert to fraction form
    946/1,305.48 = 553.29/x
  3. Step 3: Cross multiply
    946x = 1,305.48 × 553.29
  4. Step 4: Simplify right side
    946x = 722,309.03
  5. Step 5: Solve for x
    x = 722,309.03/946
  6. Step 6: Final answer
    x = 763.54

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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.