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Finding the Fourth Proportional to 654.89, 897.73 and 643.09

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Solution

The fourth proportional to 654.89, 897.73 and 643.09 is: 881.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.89 : 897.73 = 643.09 : x
  2. Step 2: Convert to fraction form
    654.89/897.73 = 643.09/x
  3. Step 3: Cross multiply
    654.89x = 897.73 × 643.09
  4. Step 4: Simplify right side
    654.89x = 577,322.63
  5. Step 5: Solve for x
    x = 577,322.63/654.89
  6. Step 6: Final answer
    x = 881.56

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.