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Finding the Fourth Proportional to 668.04, 920.96 and 419.18

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Solution

The fourth proportional to 668.04, 920.96 and 419.18 is: 577.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.04 : 920.96 = 419.18 : x
  2. Step 2: Convert to fraction form
    668.04/920.96 = 419.18/x
  3. Step 3: Cross multiply
    668.04x = 920.96 × 419.18
  4. Step 4: Simplify right side
    668.04x = 386,048.22
  5. Step 5: Solve for x
    x = 386,048.22/668.04
  6. Step 6: Final answer
    x = 577.88

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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.