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Finding the Fourth Proportional to 665.10, 917.85 and 370.37

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Solution

The fourth proportional to 665.10, 917.85 and 370.37 is: 511.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.10 : 917.85 = 370.37 : x
  2. Step 2: Convert to fraction form
    665.10/917.85 = 370.37/x
  3. Step 3: Cross multiply
    665.10x = 917.85 × 370.37
  4. Step 4: Simplify right side
    665.10x = 339,944.10
  5. Step 5: Solve for x
    x = 339,944.10/665.10
  6. Step 6: Final answer
    x = 511.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.