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Finding the Fourth Proportional to 995.57, 1,493.69 and 508.49

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Solution

The fourth proportional to 995.57, 1,493.69 and 508.49 is: 762.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.57 : 1,493.69 = 508.49 : x
  2. Step 2: Convert to fraction form
    995.57/1,493.69 = 508.49/x
  3. Step 3: Cross multiply
    995.57x = 1,493.69 × 508.49
  4. Step 4: Simplify right side
    995.57x = 759,516.42
  5. Step 5: Solve for x
    x = 759,516.42/995.57
  6. Step 6: Final answer
    x = 762.90

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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.