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Finding the Fourth Proportional to 666.37, 919.06 and 417.43

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Solution

The fourth proportional to 666.37, 919.06 and 417.43 is: 575.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.37 : 919.06 = 417.43 : x
  2. Step 2: Convert to fraction form
    666.37/919.06 = 417.43/x
  3. Step 3: Cross multiply
    666.37x = 919.06 × 417.43
  4. Step 4: Simplify right side
    666.37x = 383,643.22
  5. Step 5: Solve for x
    x = 383,643.22/666.37
  6. Step 6: Final answer
    x = 575.72

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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.