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Finding the Fourth Proportional to 1,261.10, 1,888 and 772.66

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Solution

The fourth proportional to 1,261.10, 1,888 and 772.66 is: 1,156.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.10 : 1,888 = 772.66 : x
  2. Step 2: Convert to fraction form
    1,261.10/1,888 = 772.66/x
  3. Step 3: Cross multiply
    1,261.10x = 1,888 × 772.66
  4. Step 4: Simplify right side
    1,261.10x = 1,458,782.08
  5. Step 5: Solve for x
    x = 1,458,782.08/1,261.10
  6. Step 6: Final answer
    x = 1,156.75

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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.