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Finding the Fourth Proportional to 654.88, 906.30 and 638.68

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Solution

The fourth proportional to 654.88, 906.30 and 638.68 is: 883.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.88 : 906.30 = 638.68 : x
  2. Step 2: Convert to fraction form
    654.88/906.30 = 638.68/x
  3. Step 3: Cross multiply
    654.88x = 906.30 × 638.68
  4. Step 4: Simplify right side
    654.88x = 578,835.68
  5. Step 5: Solve for x
    x = 578,835.68/654.88
  6. Step 6: Final answer
    x = 883.88

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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.