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Finding the Fourth Proportional to 668.79, 919.98 and 580.05

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Solution

The fourth proportional to 668.79, 919.98 and 580.05 is: 797.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.79 : 919.98 = 580.05 : x
  2. Step 2: Convert to fraction form
    668.79/919.98 = 580.05/x
  3. Step 3: Cross multiply
    668.79x = 919.98 × 580.05
  4. Step 4: Simplify right side
    668.79x = 533,634.40
  5. Step 5: Solve for x
    x = 533,634.40/668.79
  6. Step 6: Final answer
    x = 797.91

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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.