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Finding the Fourth Proportional to 772.19, 1,058.48 and 761.81

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Solution

The fourth proportional to 772.19, 1,058.48 and 761.81 is: 1,044.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.19 : 1,058.48 = 761.81 : x
  2. Step 2: Convert to fraction form
    772.19/1,058.48 = 761.81/x
  3. Step 3: Cross multiply
    772.19x = 1,058.48 × 761.81
  4. Step 4: Simplify right side
    772.19x = 806,351.55
  5. Step 5: Solve for x
    x = 806,351.55/772.19
  6. Step 6: Final answer
    x = 1,044.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.