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Finding the Fourth Proportional to 1,397.85, 1,929.29 and 838.20

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Solution

The fourth proportional to 1,397.85, 1,929.29 and 838.20 is: 1,156.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,397.85 : 1,929.29 = 838.20 : x
  2. Step 2: Convert to fraction form
    1,397.85/1,929.29 = 838.20/x
  3. Step 3: Cross multiply
    1,397.85x = 1,929.29 × 838.20
  4. Step 4: Simplify right side
    1,397.85x = 1,617,130.88
  5. Step 5: Solve for x
    x = 1,617,130.88/1,397.85
  6. Step 6: Final answer
    x = 1,156.87

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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.