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Finding the Fourth Proportional to 996.85, 1,495.47 and 412.18

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Solution

The fourth proportional to 996.85, 1,495.47 and 412.18 is: 618.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.85 : 1,495.47 = 412.18 : x
  2. Step 2: Convert to fraction form
    996.85/1,495.47 = 412.18/x
  3. Step 3: Cross multiply
    996.85x = 1,495.47 × 412.18
  4. Step 4: Simplify right side
    996.85x = 616,402.82
  5. Step 5: Solve for x
    x = 616,402.82/996.85
  6. Step 6: Final answer
    x = 618.35

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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.