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Finding the Fourth Proportional to 948.51, 1,311.39 and 728.19

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Solution

The fourth proportional to 948.51, 1,311.39 and 728.19 is: 1,006.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.51 : 1,311.39 = 728.19 : x
  2. Step 2: Convert to fraction form
    948.51/1,311.39 = 728.19/x
  3. Step 3: Cross multiply
    948.51x = 1,311.39 × 728.19
  4. Step 4: Simplify right side
    948.51x = 954,941.08
  5. Step 5: Solve for x
    x = 954,941.08/948.51
  6. Step 6: Final answer
    x = 1,006.78

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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.