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Finding the Fourth Proportional to 538.64, 804.87 and 383.73

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Solution

The fourth proportional to 538.64, 804.87 and 383.73 is: 573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.64 : 804.87 = 383.73 : x
  2. Step 2: Convert to fraction form
    538.64/804.87 = 383.73/x
  3. Step 3: Cross multiply
    538.64x = 804.87 × 383.73
  4. Step 4: Simplify right side
    538.64x = 308,852.77
  5. Step 5: Solve for x
    x = 308,852.77/538.64
  6. Step 6: Final answer
    x = 573.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.