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Finding the Fourth Proportional to 666.74, 919.89 and 459.86

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Solution

The fourth proportional to 666.74, 919.89 and 459.86 is: 634.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.74 : 919.89 = 459.86 : x
  2. Step 2: Convert to fraction form
    666.74/919.89 = 459.86/x
  3. Step 3: Cross multiply
    666.74x = 919.89 × 459.86
  4. Step 4: Simplify right side
    666.74x = 423,020.62
  5. Step 5: Solve for x
    x = 423,020.62/666.74
  6. Step 6: Final answer
    x = 634.46

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1.5x scale

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.