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Finding the Fourth Proportional to 1,025.37, 1,538.24 and 440.73

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Solution

The fourth proportional to 1,025.37, 1,538.24 and 440.73 is: 661.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.37 : 1,538.24 = 440.73 : x
  2. Step 2: Convert to fraction form
    1,025.37/1,538.24 = 440.73/x
  3. Step 3: Cross multiply
    1,025.37x = 1,538.24 × 440.73
  4. Step 4: Simplify right side
    1,025.37x = 677,946.31
  5. Step 5: Solve for x
    x = 677,946.31/1,025.37
  6. Step 6: Final answer
    x = 661.17

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Double scale
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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.