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Finding the Fourth Proportional to 1,397.76, 1,929.02 and 838.25

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Solution

The fourth proportional to 1,397.76, 1,929.02 and 838.25 is: 1,156.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.76 : 1,929.02 = 838.25 : x
  2. Step 2: Convert to fraction form
    1,397.76/1,929.02 = 838.25/x
  3. Step 3: Cross multiply
    1,397.76x = 1,929.02 × 838.25
  4. Step 4: Simplify right side
    1,397.76x = 1,616,994.41
  5. Step 5: Solve for x
    x = 1,616,994.41/1,397.76
  6. Step 6: Final answer
    x = 1,156.85

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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.