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Finding the Fourth Proportional to 1,397.63, 1,928.73 and 776.63

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Solution

The fourth proportional to 1,397.63, 1,928.73 and 776.63 is: 1,071.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.63 : 1,928.73 = 776.63 : x
  2. Step 2: Convert to fraction form
    1,397.63/1,928.73 = 776.63/x
  3. Step 3: Cross multiply
    1,397.63x = 1,928.73 × 776.63
  4. Step 4: Simplify right side
    1,397.63x = 1,497,899.94
  5. Step 5: Solve for x
    x = 1,497,899.94/1,397.63
  6. Step 6: Final answer
    x = 1,071.75

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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.