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Finding the Fourth Proportional to 994.22, 1,492.13 and 507.41

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Solution

The fourth proportional to 994.22, 1,492.13 and 507.41 is: 761.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.22 : 1,492.13 = 507.41 : x
  2. Step 2: Convert to fraction form
    994.22/1,492.13 = 507.41/x
  3. Step 3: Cross multiply
    994.22x = 1,492.13 × 507.41
  4. Step 4: Simplify right side
    994.22x = 757,115.49
  5. Step 5: Solve for x
    x = 757,115.49/994.22
  6. Step 6: Final answer
    x = 761.52

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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.