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Finding the Fourth Proportional to 915.55, 1,264.62 and 768.94

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Solution

The fourth proportional to 915.55, 1,264.62 and 768.94 is: 1,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    915.55 : 1,264.62 = 768.94 : x
  2. Step 2: Convert to fraction form
    915.55/1,264.62 = 768.94/x
  3. Step 3: Cross multiply
    915.55x = 1,264.62 × 768.94
  4. Step 4: Simplify right side
    915.55x = 972,416.90
  5. Step 5: Solve for x
    x = 972,416.90/915.55
  6. Step 6: Final answer
    x = 1,062.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.