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Finding the Fourth Proportional to 773.17, 1,065.85 and 510.73

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Solution

The fourth proportional to 773.17, 1,065.85 and 510.73 is: 704.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.17 : 1,065.85 = 510.73 : x
  2. Step 2: Convert to fraction form
    773.17/1,065.85 = 510.73/x
  3. Step 3: Cross multiply
    773.17x = 1,065.85 × 510.73
  4. Step 4: Simplify right side
    773.17x = 544,361.57
  5. Step 5: Solve for x
    x = 544,361.57/773.17
  6. Step 6: Final answer
    x = 704.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.