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Finding the Fourth Proportional to 771.15, 1,064.43 and 731.97

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Solution

The fourth proportional to 771.15, 1,064.43 and 731.97 is: 1,010.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    771.15 : 1,064.43 = 731.97 : x
  2. Step 2: Convert to fraction form
    771.15/1,064.43 = 731.97/x
  3. Step 3: Cross multiply
    771.15x = 1,064.43 × 731.97
  4. Step 4: Simplify right side
    771.15x = 779,130.83
  5. Step 5: Solve for x
    x = 779,130.83/771.15
  6. Step 6: Final answer
    x = 1,010.35

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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.