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Finding the Fourth Proportional to 948.98, 1,310.23 and 727.54

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Solution

The fourth proportional to 948.98, 1,310.23 and 727.54 is: 1,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.98 : 1,310.23 = 727.54 : x
  2. Step 2: Convert to fraction form
    948.98/1,310.23 = 727.54/x
  3. Step 3: Cross multiply
    948.98x = 1,310.23 × 727.54
  4. Step 4: Simplify right side
    948.98x = 953,244.73
  5. Step 5: Solve for x
    x = 953,244.73/948.98
  6. Step 6: Final answer
    x = 1,004.49

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1.5x scale

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.