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Finding the Fourth Proportional to 601.09, 902.85 and 499.84

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Solution

The fourth proportional to 601.09, 902.85 and 499.84 is: 750.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.09 : 902.85 = 499.84 : x
  2. Step 2: Convert to fraction form
    601.09/902.85 = 499.84/x
  3. Step 3: Cross multiply
    601.09x = 902.85 × 499.84
  4. Step 4: Simplify right side
    601.09x = 451,280.54
  5. Step 5: Solve for x
    x = 451,280.54/601.09
  6. Step 6: Final answer
    x = 750.77

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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.