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Finding the Fourth Proportional to 880.95, 1,218.02 and 771.60

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Solution

The fourth proportional to 880.95, 1,218.02 and 771.60 is: 1,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.95 : 1,218.02 = 771.60 : x
  2. Step 2: Convert to fraction form
    880.95/1,218.02 = 771.60/x
  3. Step 3: Cross multiply
    880.95x = 1,218.02 × 771.60
  4. Step 4: Simplify right side
    880.95x = 939,820.37
  5. Step 5: Solve for x
    x = 939,820.37/880.95
  6. Step 6: Final answer
    x = 1,066.83

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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.