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Finding the Fourth Proportional to 770.85, 1,156.23 and 257.85

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Solution

The fourth proportional to 770.85, 1,156.23 and 257.85 is: 386.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.85 : 1,156.23 = 257.85 : x
  2. Step 2: Convert to fraction form
    770.85/1,156.23 = 257.85/x
  3. Step 3: Cross multiply
    770.85x = 1,156.23 × 257.85
  4. Step 4: Simplify right side
    770.85x = 298,133.91
  5. Step 5: Solve for x
    x = 298,133.91/770.85
  6. Step 6: Final answer
    x = 386.76

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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.