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Finding the Fourth Proportional to 994.83, 1,492.06 and 378.39

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Solution

The fourth proportional to 994.83, 1,492.06 and 378.39 is: 567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.83 : 1,492.06 = 378.39 : x
  2. Step 2: Convert to fraction form
    994.83/1,492.06 = 378.39/x
  3. Step 3: Cross multiply
    994.83x = 1,492.06 × 378.39
  4. Step 4: Simplify right side
    994.83x = 564,580.58
  5. Step 5: Solve for x
    x = 564,580.58/994.83
  6. Step 6: Final answer
    x = 567.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.