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Finding the Fourth Proportional to 773.23, 1,067.10 and 510.79

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Solution

The fourth proportional to 773.23, 1,067.10 and 510.79 is: 704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.23 : 1,067.10 = 510.79 : x
  2. Step 2: Convert to fraction form
    773.23/1,067.10 = 510.79/x
  3. Step 3: Cross multiply
    773.23x = 1,067.10 × 510.79
  4. Step 4: Simplify right side
    773.23x = 545,058.67
  5. Step 5: Solve for x
    x = 545,058.67/773.23
  6. Step 6: Final answer
    x = 704.92

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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.