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Finding the Fourth Proportional to 1,102.46, 1,522.95 and 770.78

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Solution

The fourth proportional to 1,102.46, 1,522.95 and 770.78 is: 1,064.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.46 : 1,522.95 = 770.78 : x
  2. Step 2: Convert to fraction form
    1,102.46/1,522.95 = 770.78/x
  3. Step 3: Cross multiply
    1,102.46x = 1,522.95 × 770.78
  4. Step 4: Simplify right side
    1,102.46x = 1,173,859.40
  5. Step 5: Solve for x
    x = 1,173,859.40/1,102.46
  6. Step 6: Final answer
    x = 1,064.76

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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.