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Finding the Fourth Proportional to 820.69, 1,132.55 and 559.16

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Solution

The fourth proportional to 820.69, 1,132.55 and 559.16 is: 771.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.69 : 1,132.55 = 559.16 : x
  2. Step 2: Convert to fraction form
    820.69/1,132.55 = 559.16/x
  3. Step 3: Cross multiply
    820.69x = 1,132.55 × 559.16
  4. Step 4: Simplify right side
    820.69x = 633,274.54
  5. Step 5: Solve for x
    x = 633,274.54/820.69
  6. Step 6: Final answer
    x = 771.64

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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.