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Finding the Fourth Proportional to 770.86, 1,156.55 and 381.14

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Solution

The fourth proportional to 770.86, 1,156.55 and 381.14 is: 571.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.86 : 1,156.55 = 381.14 : x
  2. Step 2: Convert to fraction form
    770.86/1,156.55 = 381.14/x
  3. Step 3: Cross multiply
    770.86x = 1,156.55 × 381.14
  4. Step 4: Simplify right side
    770.86x = 440,805.56
  5. Step 5: Solve for x
    x = 440,805.56/770.86
  6. Step 6: Final answer
    x = 571.84

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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.