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Finding the Fourth Proportional to 884.40, 1,323.45 and 770.10

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Solution

The fourth proportional to 884.40, 1,323.45 and 770.10 is: 1,152.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.40 : 1,323.45 = 770.10 : x
  2. Step 2: Convert to fraction form
    884.40/1,323.45 = 770.10/x
  3. Step 3: Cross multiply
    884.40x = 1,323.45 × 770.10
  4. Step 4: Simplify right side
    884.40x = 1,019,188.85
  5. Step 5: Solve for x
    x = 1,019,188.85/884.40
  6. Step 6: Final answer
    x = 1,152.41

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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.