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Finding the Fourth Proportional to 544.61, 816.93 and 285.13

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Solution

The fourth proportional to 544.61, 816.93 and 285.13 is: 427.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.61 : 816.93 = 285.13 : x
  2. Step 2: Convert to fraction form
    544.61/816.93 = 285.13/x
  3. Step 3: Cross multiply
    544.61x = 816.93 × 285.13
  4. Step 4: Simplify right side
    544.61x = 232,932.27
  5. Step 5: Solve for x
    x = 232,932.27/544.61
  6. Step 6: Final answer
    x = 427.70

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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.