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Finding the Fourth Proportional to 994.96, 1,492.43 and 378.55

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Solution

The fourth proportional to 994.96, 1,492.43 and 378.55 is: 567.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.96 : 1,492.43 = 378.55 : x
  2. Step 2: Convert to fraction form
    994.96/1,492.43 = 378.55/x
  3. Step 3: Cross multiply
    994.96x = 1,492.43 × 378.55
  4. Step 4: Simplify right side
    994.96x = 564,957.48
  5. Step 5: Solve for x
    x = 564,957.48/994.96
  6. Step 6: Final answer
    x = 567.82

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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.