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Finding the Fourth Proportional to 668.85, 921.42 and 469.31

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Solution

The fourth proportional to 668.85, 921.42 and 469.31 is: 646.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.85 : 921.42 = 469.31 : x
  2. Step 2: Convert to fraction form
    668.85/921.42 = 469.31/x
  3. Step 3: Cross multiply
    668.85x = 921.42 × 469.31
  4. Step 4: Simplify right side
    668.85x = 432,427.01
  5. Step 5: Solve for x
    x = 432,427.01/668.85
  6. Step 6: Final answer
    x = 646.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.