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Finding the Fourth Proportional to 601.51, 900.90 and 419.04

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Solution

The fourth proportional to 601.51, 900.90 and 419.04 is: 627.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.51 : 900.90 = 419.04 : x
  2. Step 2: Convert to fraction form
    601.51/900.90 = 419.04/x
  3. Step 3: Cross multiply
    601.51x = 900.90 × 419.04
  4. Step 4: Simplify right side
    601.51x = 377,513.14
  5. Step 5: Solve for x
    x = 377,513.14/601.51
  6. Step 6: Final answer
    x = 627.61

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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.