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Finding the Fourth Proportional to 994.88, 1,492.46 and 345.53

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Solution

The fourth proportional to 994.88, 1,492.46 and 345.53 is: 518.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.88 : 1,492.46 = 345.53 : x
  2. Step 2: Convert to fraction form
    994.88/1,492.46 = 345.53/x
  3. Step 3: Cross multiply
    994.88x = 1,492.46 × 345.53
  4. Step 4: Simplify right side
    994.88x = 515,689.70
  5. Step 5: Solve for x
    x = 515,689.70/994.88
  6. Step 6: Final answer
    x = 518.34

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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.