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Finding the Fourth Proportional to 612.08, 917.69 and 490.31

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Solution

The fourth proportional to 612.08, 917.69 and 490.31 is: 735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.08 : 917.69 = 490.31 : x
  2. Step 2: Convert to fraction form
    612.08/917.69 = 490.31/x
  3. Step 3: Cross multiply
    612.08x = 917.69 × 490.31
  4. Step 4: Simplify right side
    612.08x = 449,945.54
  5. Step 5: Solve for x
    x = 449,945.54/612.08
  6. Step 6: Final answer
    x = 735.12

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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.