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Finding the Fourth Proportional to 654.57, 902.85 and 405.45

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Solution

The fourth proportional to 654.57, 902.85 and 405.45 is: 559.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.57 : 902.85 = 405.45 : x
  2. Step 2: Convert to fraction form
    654.57/902.85 = 405.45/x
  3. Step 3: Cross multiply
    654.57x = 902.85 × 405.45
  4. Step 4: Simplify right side
    654.57x = 366,060.53
  5. Step 5: Solve for x
    x = 366,060.53/654.57
  6. Step 6: Final answer
    x = 559.24

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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.