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Finding the Fourth Proportional to 602.35, 903.25 and 419.83

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Solution

The fourth proportional to 602.35, 903.25 and 419.83 is: 629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.35 : 903.25 = 419.83 : x
  2. Step 2: Convert to fraction form
    602.35/903.25 = 419.83/x
  3. Step 3: Cross multiply
    602.35x = 903.25 × 419.83
  4. Step 4: Simplify right side
    602.35x = 379,209.71
  5. Step 5: Solve for x
    x = 379,209.71/602.35
  6. Step 6: Final answer
    x = 629.55

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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.