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Finding the Fourth Proportional to 996.99, 1,495.50 and 347.75

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Solution

The fourth proportional to 996.99, 1,495.50 and 347.75 is: 521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.99 : 1,495.50 = 347.75 : x
  2. Step 2: Convert to fraction form
    996.99/1,495.50 = 347.75/x
  3. Step 3: Cross multiply
    996.99x = 1,495.50 × 347.75
  4. Step 4: Simplify right side
    996.99x = 520,060.13
  5. Step 5: Solve for x
    x = 520,060.13/996.99
  6. Step 6: Final answer
    x = 521.63

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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.