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Finding the Fourth Proportional to 601.36, 902.36 and 396.24

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Solution

The fourth proportional to 601.36, 902.36 and 396.24 is: 594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.36 : 902.36 = 396.24 : x
  2. Step 2: Convert to fraction form
    601.36/902.36 = 396.24/x
  3. Step 3: Cross multiply
    601.36x = 902.36 × 396.24
  4. Step 4: Simplify right side
    601.36x = 357,551.13
  5. Step 5: Solve for x
    x = 357,551.13/601.36
  6. Step 6: Final answer
    x = 594.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.