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Finding the Fourth Proportional to 544.55, 816.86 and 390.09

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Solution

The fourth proportional to 544.55, 816.86 and 390.09 is: 585.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.55 : 816.86 = 390.09 : x
  2. Step 2: Convert to fraction form
    544.55/816.86 = 390.09/x
  3. Step 3: Cross multiply
    544.55x = 816.86 × 390.09
  4. Step 4: Simplify right side
    544.55x = 318,649.56
  5. Step 5: Solve for x
    x = 318,649.56/544.55
  6. Step 6: Final answer
    x = 585.16

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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.