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Finding the Fourth Proportional to 665.77, 919.10 and 417.23

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Solution

The fourth proportional to 665.77, 919.10 and 417.23 is: 575.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.77 : 919.10 = 417.23 : x
  2. Step 2: Convert to fraction form
    665.77/919.10 = 417.23/x
  3. Step 3: Cross multiply
    665.77x = 919.10 × 417.23
  4. Step 4: Simplify right side
    665.77x = 383,476.09
  5. Step 5: Solve for x
    x = 383,476.09/665.77
  6. Step 6: Final answer
    x = 575.99

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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.