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Finding the Fourth Proportional to 665.64, 919.39 and 488.35

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Solution

The fourth proportional to 665.64, 919.39 and 488.35 is: 674.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.64 : 919.39 = 488.35 : x
  2. Step 2: Convert to fraction form
    665.64/919.39 = 488.35/x
  3. Step 3: Cross multiply
    665.64x = 919.39 × 488.35
  4. Step 4: Simplify right side
    665.64x = 448,984.11
  5. Step 5: Solve for x
    x = 448,984.11/665.64
  6. Step 6: Final answer
    x = 674.51

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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.