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Finding the Fourth Proportional to 915.51, 1,372.26 and 428.16

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Solution

The fourth proportional to 915.51, 1,372.26 and 428.16 is: 641.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.51 : 1,372.26 = 428.16 : x
  2. Step 2: Convert to fraction form
    915.51/1,372.26 = 428.16/x
  3. Step 3: Cross multiply
    915.51x = 1,372.26 × 428.16
  4. Step 4: Simplify right side
    915.51x = 587,546.84
  5. Step 5: Solve for x
    x = 587,546.84/915.51
  6. Step 6: Final answer
    x = 641.77

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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.