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Finding the Fourth Proportional to 771.14, 1,156.71 and 258.14

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Solution

The fourth proportional to 771.14, 1,156.71 and 258.14 is: 387.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.14 : 1,156.71 = 258.14 : x
  2. Step 2: Convert to fraction form
    771.14/1,156.71 = 258.14/x
  3. Step 3: Cross multiply
    771.14x = 1,156.71 × 258.14
  4. Step 4: Simplify right side
    771.14x = 298,596.01
  5. Step 5: Solve for x
    x = 298,596.01/771.14
  6. Step 6: Final answer
    x = 387.21

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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.