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Finding the Fourth Proportional to 953.32, 1,322.11 and 920.44

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Solution

The fourth proportional to 953.32, 1,322.11 and 920.44 is: 1,276.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.32 : 1,322.11 = 920.44 : x
  2. Step 2: Convert to fraction form
    953.32/1,322.11 = 920.44/x
  3. Step 3: Cross multiply
    953.32x = 1,322.11 × 920.44
  4. Step 4: Simplify right side
    953.32x = 1,216,922.93
  5. Step 5: Solve for x
    x = 1,216,922.93/953.32
  6. Step 6: Final answer
    x = 1,276.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.