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Finding the Fourth Proportional to 601.49, 900.99 and 357.41

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Solution

The fourth proportional to 601.49, 900.99 and 357.41 is: 535.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.49 : 900.99 = 357.41 : x
  2. Step 2: Convert to fraction form
    601.49/900.99 = 357.41/x
  3. Step 3: Cross multiply
    601.49x = 900.99 × 357.41
  4. Step 4: Simplify right side
    601.49x = 322,022.84
  5. Step 5: Solve for x
    x = 322,022.84/601.49
  6. Step 6: Final answer
    x = 535.38

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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.