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Finding the Fourth Proportional to 915.14, 1,364.09 and 907.97

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Solution

The fourth proportional to 915.14, 1,364.09 and 907.97 is: 1,353.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.14 : 1,364.09 = 907.97 : x
  2. Step 2: Convert to fraction form
    915.14/1,364.09 = 907.97/x
  3. Step 3: Cross multiply
    915.14x = 1,364.09 × 907.97
  4. Step 4: Simplify right side
    915.14x = 1,238,541.44
  5. Step 5: Solve for x
    x = 1,238,541.44/915.14
  6. Step 6: Final answer
    x = 1,353.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.