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Finding the Fourth Proportional to 665.94, 919.54 and 404.30

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Solution

The fourth proportional to 665.94, 919.54 and 404.30 is: 558.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.94 : 919.54 = 404.30 : x
  2. Step 2: Convert to fraction form
    665.94/919.54 = 404.30/x
  3. Step 3: Cross multiply
    665.94x = 919.54 × 404.30
  4. Step 4: Simplify right side
    665.94x = 371,770.02
  5. Step 5: Solve for x
    x = 371,770.02/665.94
  6. Step 6: Final answer
    x = 558.26

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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.