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Finding the Fourth Proportional to 1,397.75, 1,929.36 and 838.40

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Solution

The fourth proportional to 1,397.75, 1,929.36 and 838.40 is: 1,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.75 : 1,929.36 = 838.40 : x
  2. Step 2: Convert to fraction form
    1,397.75/1,929.36 = 838.40/x
  3. Step 3: Cross multiply
    1,397.75x = 1,929.36 × 838.40
  4. Step 4: Simplify right side
    1,397.75x = 1,617,575.42
  5. Step 5: Solve for x
    x = 1,617,575.42/1,397.75
  6. Step 6: Final answer
    x = 1,157.27

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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.