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Finding the Fourth Proportional to 996.29, 1,495.11 and 347.02

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Solution

The fourth proportional to 996.29, 1,495.11 and 347.02 is: 520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.29 : 1,495.11 = 347.02 : x
  2. Step 2: Convert to fraction form
    996.29/1,495.11 = 347.02/x
  3. Step 3: Cross multiply
    996.29x = 1,495.11 × 347.02
  4. Step 4: Simplify right side
    996.29x = 518,834.99
  5. Step 5: Solve for x
    x = 518,834.99/996.29
  6. Step 6: Final answer
    x = 520.77

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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.