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Finding the Fourth Proportional to 779.98, 1,076.23 and 632.36

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Solution

The fourth proportional to 779.98, 1,076.23 and 632.36 is: 872.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.98 : 1,076.23 = 632.36 : x
  2. Step 2: Convert to fraction form
    779.98/1,076.23 = 632.36/x
  3. Step 3: Cross multiply
    779.98x = 1,076.23 × 632.36
  4. Step 4: Simplify right side
    779.98x = 680,564.80
  5. Step 5: Solve for x
    x = 680,564.80/779.98
  6. Step 6: Final answer
    x = 872.54

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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.