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Finding the Fourth Proportional to 1,925.22, 2,888.64 and 771.78

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Solution

The fourth proportional to 1,925.22, 2,888.64 and 771.78 is: 1,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,925.22 : 2,888.64 = 771.78 : x
  2. Step 2: Convert to fraction form
    1,925.22/2,888.64 = 771.78/x
  3. Step 3: Cross multiply
    1,925.22x = 2,888.64 × 771.78
  4. Step 4: Simplify right side
    1,925.22x = 2,229,394.58
  5. Step 5: Solve for x
    x = 2,229,394.58/1,925.22
  6. Step 6: Final answer
    x = 1,157.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.