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Finding the Fourth Proportional to 666.84, 919.71 and 404.85

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Solution

The fourth proportional to 666.84, 919.71 and 404.85 is: 558.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.84 : 919.71 = 404.85 : x
  2. Step 2: Convert to fraction form
    666.84/919.71 = 404.85/x
  3. Step 3: Cross multiply
    666.84x = 919.71 × 404.85
  4. Step 4: Simplify right side
    666.84x = 372,344.59
  5. Step 5: Solve for x
    x = 372,344.59/666.84
  6. Step 6: Final answer
    x = 558.37

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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.