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Finding the Fourth Proportional to 538.88, 807.44 and 384.48

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Solution

The fourth proportional to 538.88, 807.44 and 384.48 is: 576.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.88 : 807.44 = 384.48 : x
  2. Step 2: Convert to fraction form
    538.88/807.44 = 384.48/x
  3. Step 3: Cross multiply
    538.88x = 807.44 × 384.48
  4. Step 4: Simplify right side
    538.88x = 310,444.53
  5. Step 5: Solve for x
    x = 310,444.53/538.88
  6. Step 6: Final answer
    x = 576.09

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