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Finding the Fourth Proportional to 654.24, 902.78 and 405.40

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Solution

The fourth proportional to 654.24, 902.78 and 405.40 is: 559.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.24 : 902.78 = 405.40 : x
  2. Step 2: Convert to fraction form
    654.24/902.78 = 405.40/x
  3. Step 3: Cross multiply
    654.24x = 902.78 × 405.40
  4. Step 4: Simplify right side
    654.24x = 365,987.01
  5. Step 5: Solve for x
    x = 365,987.01/654.24
  6. Step 6: Final answer
    x = 559.41

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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.