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Finding the Fourth Proportional to 544.58, 814.73 and 381.16

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Solution

The fourth proportional to 544.58, 814.73 and 381.16 is: 570.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.58 : 814.73 = 381.16 : x
  2. Step 2: Convert to fraction form
    544.58/814.73 = 381.16/x
  3. Step 3: Cross multiply
    544.58x = 814.73 × 381.16
  4. Step 4: Simplify right side
    544.58x = 310,538.41
  5. Step 5: Solve for x
    x = 310,538.41/544.58
  6. Step 6: Final answer
    x = 570.24

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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.