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Finding the Fourth Proportional to 921.36, 1,382.24 and 433.83

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Solution

The fourth proportional to 921.36, 1,382.24 and 433.83 is: 650.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.36 : 1,382.24 = 433.83 : x
  2. Step 2: Convert to fraction form
    921.36/1,382.24 = 433.83/x
  3. Step 3: Cross multiply
    921.36x = 1,382.24 × 433.83
  4. Step 4: Simplify right side
    921.36x = 599,655.01
  5. Step 5: Solve for x
    x = 599,655.01/921.36
  6. Step 6: Final answer
    x = 650.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.