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Finding the Fourth Proportional to 601.64, 900.52 and 323.60

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Solution

The fourth proportional to 601.64, 900.52 and 323.60 is: 484.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.64 : 900.52 = 323.60 : x
  2. Step 2: Convert to fraction form
    601.64/900.52 = 323.60/x
  3. Step 3: Cross multiply
    601.64x = 900.52 × 323.60
  4. Step 4: Simplify right side
    601.64x = 291,408.27
  5. Step 5: Solve for x
    x = 291,408.27/601.64
  6. Step 6: Final answer
    x = 484.36

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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.