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Finding the Fourth Proportional to 996.78, 1,492.41 and 507.45

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Solution

The fourth proportional to 996.78, 1,492.41 and 507.45 is: 759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.78 : 1,492.41 = 507.45 : x
  2. Step 2: Convert to fraction form
    996.78/1,492.41 = 507.45/x
  3. Step 3: Cross multiply
    996.78x = 1,492.41 × 507.45
  4. Step 4: Simplify right side
    996.78x = 757,323.45
  5. Step 5: Solve for x
    x = 757,323.45/996.78
  6. Step 6: Final answer
    x = 759.77

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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.