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Finding the Fourth Proportional to 602.50, 902.04 and 416.99

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Solution

The fourth proportional to 602.50, 902.04 and 416.99 is: 624.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.50 : 902.04 = 416.99 : x
  2. Step 2: Convert to fraction form
    602.50/902.04 = 416.99/x
  3. Step 3: Cross multiply
    602.50x = 902.04 × 416.99
  4. Step 4: Simplify right side
    602.50x = 376,141.66
  5. Step 5: Solve for x
    x = 376,141.66/602.50
  6. Step 6: Final answer
    x = 624.30

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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.