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Finding the Fourth Proportional to 601.21, 899.72 and 416.31

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Solution

The fourth proportional to 601.21, 899.72 and 416.31 is: 623.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.21 : 899.72 = 416.31 : x
  2. Step 2: Convert to fraction form
    601.21/899.72 = 416.31/x
  3. Step 3: Cross multiply
    601.21x = 899.72 × 416.31
  4. Step 4: Simplify right side
    601.21x = 374,562.43
  5. Step 5: Solve for x
    x = 374,562.43/601.21
  6. Step 6: Final answer
    x = 623.01

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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.