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Finding the Fourth Proportional to 668.44, 919.98 and 585.76

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Solution

The fourth proportional to 668.44, 919.98 and 585.76 is: 806.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.44 : 919.98 = 585.76 : x
  2. Step 2: Convert to fraction form
    668.44/919.98 = 585.76/x
  3. Step 3: Cross multiply
    668.44x = 919.98 × 585.76
  4. Step 4: Simplify right side
    668.44x = 538,887.48
  5. Step 5: Solve for x
    x = 538,887.48/668.44
  6. Step 6: Final answer
    x = 806.19

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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.