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Finding the Fourth Proportional to 820.60, 1,132.80 and 540.98

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Solution

The fourth proportional to 820.60, 1,132.80 and 540.98 is: 746.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.60 : 1,132.80 = 540.98 : x
  2. Step 2: Convert to fraction form
    820.60/1,132.80 = 540.98/x
  3. Step 3: Cross multiply
    820.60x = 1,132.80 × 540.98
  4. Step 4: Simplify right side
    820.60x = 612,822.14
  5. Step 5: Solve for x
    x = 612,822.14/820.60
  6. Step 6: Final answer
    x = 746.80

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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.