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Finding the Fourth Proportional to 601.34, 899.58 and 408.56

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Solution

The fourth proportional to 601.34, 899.58 and 408.56 is: 611.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.34 : 899.58 = 408.56 : x
  2. Step 2: Convert to fraction form
    601.34/899.58 = 408.56/x
  3. Step 3: Cross multiply
    601.34x = 899.58 × 408.56
  4. Step 4: Simplify right side
    601.34x = 367,532.40
  5. Step 5: Solve for x
    x = 367,532.40/601.34
  6. Step 6: Final answer
    x = 611.19

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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.