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Finding the Fourth Proportional to 915.54, 1,374.03 and 428.73

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Solution

The fourth proportional to 915.54, 1,374.03 and 428.73 is: 643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.54 : 1,374.03 = 428.73 : x
  2. Step 2: Convert to fraction form
    915.54/1,374.03 = 428.73/x
  3. Step 3: Cross multiply
    915.54x = 1,374.03 × 428.73
  4. Step 4: Simplify right side
    915.54x = 589,087.88
  5. Step 5: Solve for x
    x = 589,087.88/915.54
  6. Step 6: Final answer
    x = 643.43

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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.