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Finding the Fourth Proportional to 544.28, 815.61 and 465.77

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Solution

The fourth proportional to 544.28, 815.61 and 465.77 is: 697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    544.28 : 815.61 = 465.77 : x
  2. Step 2: Convert to fraction form
    544.28/815.61 = 465.77/x
  3. Step 3: Cross multiply
    544.28x = 815.61 × 465.77
  4. Step 4: Simplify right side
    544.28x = 379,886.89
  5. Step 5: Solve for x
    x = 379,886.89/544.28
  6. Step 6: Final answer
    x = 697.96

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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.