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Finding the Fourth Proportional to 665.84, 919.61 and 656.73

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Solution

The fourth proportional to 665.84, 919.61 and 656.73 is: 907.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.84 : 919.61 = 656.73 : x
  2. Step 2: Convert to fraction form
    665.84/919.61 = 656.73/x
  3. Step 3: Cross multiply
    665.84x = 919.61 × 656.73
  4. Step 4: Simplify right side
    665.84x = 603,932.19
  5. Step 5: Solve for x
    x = 603,932.19/665.84
  6. Step 6: Final answer
    x = 907.03

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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.