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Finding the Fourth Proportional to 1,238.84, 1,857.01 and 776.95

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Solution

The fourth proportional to 1,238.84, 1,857.01 and 776.95 is: 1,164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.84 : 1,857.01 = 776.95 : x
  2. Step 2: Convert to fraction form
    1,238.84/1,857.01 = 776.95/x
  3. Step 3: Cross multiply
    1,238.84x = 1,857.01 × 776.95
  4. Step 4: Simplify right side
    1,238.84x = 1,442,794.63
  5. Step 5: Solve for x
    x = 1,442,794.63/1,238.84
  6. Step 6: Final answer
    x = 1,164.63

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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.