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Finding the Fourth Proportional to 770.11, 1,154.44 and 427.39

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Solution

The fourth proportional to 770.11, 1,154.44 and 427.39 is: 640.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.11 : 1,154.44 = 427.39 : x
  2. Step 2: Convert to fraction form
    770.11/1,154.44 = 427.39/x
  3. Step 3: Cross multiply
    770.11x = 1,154.44 × 427.39
  4. Step 4: Simplify right side
    770.11x = 493,396.11
  5. Step 5: Solve for x
    x = 493,396.11/770.11
  6. Step 6: Final answer
    x = 640.68

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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.