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Finding the Fourth Proportional to 915.98, 1,375.99 and 712.06

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Solution

The fourth proportional to 915.98, 1,375.99 and 712.06 is: 1,069.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.98 : 1,375.99 = 712.06 : x
  2. Step 2: Convert to fraction form
    915.98/1,375.99 = 712.06/x
  3. Step 3: Cross multiply
    915.98x = 1,375.99 × 712.06
  4. Step 4: Simplify right side
    915.98x = 979,782.22
  5. Step 5: Solve for x
    x = 979,782.22/915.98
  6. Step 6: Final answer
    x = 1,069.66

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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.