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Finding the Fourth Proportional to 1,102.40, 1,520.74 and 770.10

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Solution

The fourth proportional to 1,102.40, 1,520.74 and 770.10 is: 1,062.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.40 : 1,520.74 = 770.10 : x
  2. Step 2: Convert to fraction form
    1,102.40/1,520.74 = 770.10/x
  3. Step 3: Cross multiply
    1,102.40x = 1,520.74 × 770.10
  4. Step 4: Simplify right side
    1,102.40x = 1,171,121.87
  5. Step 5: Solve for x
    x = 1,171,121.87/1,102.40
  6. Step 6: Final answer
    x = 1,062.34

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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.