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Finding the Fourth Proportional to 826.88, 1,140.36 and 740.48

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Solution

The fourth proportional to 826.88, 1,140.36 and 740.48 is: 1,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.88 : 1,140.36 = 740.48 : x
  2. Step 2: Convert to fraction form
    826.88/1,140.36 = 740.48/x
  3. Step 3: Cross multiply
    826.88x = 1,140.36 × 740.48
  4. Step 4: Simplify right side
    826.88x = 844,413.77
  5. Step 5: Solve for x
    x = 844,413.77/826.88
  6. Step 6: Final answer
    x = 1,021.20

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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.