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Finding the Fourth Proportional to 1,397.58, 1,928.66 and 838.07

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Solution

The fourth proportional to 1,397.58, 1,928.66 and 838.07 is: 1,156.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.58 : 1,928.66 = 838.07 : x
  2. Step 2: Convert to fraction form
    1,397.58/1,928.66 = 838.07/x
  3. Step 3: Cross multiply
    1,397.58x = 1,928.66 × 838.07
  4. Step 4: Simplify right side
    1,397.58x = 1,616,352.09
  5. Step 5: Solve for x
    x = 1,616,352.09/1,397.58
  6. Step 6: Final answer
    x = 1,156.54

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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.