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Finding the Fourth Proportional to 771.95, 1,156.52 and 511.33

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Solution

The fourth proportional to 771.95, 1,156.52 and 511.33 is: 766.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.95 : 1,156.52 = 511.33 : x
  2. Step 2: Convert to fraction form
    771.95/1,156.52 = 511.33/x
  3. Step 3: Cross multiply
    771.95x = 1,156.52 × 511.33
  4. Step 4: Simplify right side
    771.95x = 591,361.76
  5. Step 5: Solve for x
    x = 591,361.76/771.95
  6. Step 6: Final answer
    x = 766.07

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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.