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Finding the Fourth Proportional to 653.80, 902.46 and 405.28

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Solution

The fourth proportional to 653.80, 902.46 and 405.28 is: 559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.80 : 902.46 = 405.28 : x
  2. Step 2: Convert to fraction form
    653.80/902.46 = 405.28/x
  3. Step 3: Cross multiply
    653.80x = 902.46 × 405.28
  4. Step 4: Simplify right side
    653.80x = 365,748.99
  5. Step 5: Solve for x
    x = 365,748.99/653.80
  6. Step 6: Final answer
    x = 559.42

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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.