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Finding the Fourth Proportional to 654.06, 902.70 and 405.30

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Solution

The fourth proportional to 654.06, 902.70 and 405.30 is: 559.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.06 : 902.70 = 405.30 : x
  2. Step 2: Convert to fraction form
    654.06/902.70 = 405.30/x
  3. Step 3: Cross multiply
    654.06x = 902.70 × 405.30
  4. Step 4: Simplify right side
    654.06x = 365,864.31
  5. Step 5: Solve for x
    x = 365,864.31/654.06
  6. Step 6: Final answer
    x = 559.37

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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.