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Finding the Fourth Proportional to 665.81, 919.09 and 417.07

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Solution

The fourth proportional to 665.81, 919.09 and 417.07 is: 575.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.81 : 919.09 = 417.07 : x
  2. Step 2: Convert to fraction form
    665.81/919.09 = 417.07/x
  3. Step 3: Cross multiply
    665.81x = 919.09 × 417.07
  4. Step 4: Simplify right side
    665.81x = 383,326.54
  5. Step 5: Solve for x
    x = 383,326.54/665.81
  6. Step 6: Final answer
    x = 575.73

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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.