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Finding the Fourth Proportional to 902.96, 1,355.04 and 416

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Solution

The fourth proportional to 902.96, 1,355.04 and 416 is: 624.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.96 : 1,355.04 = 416 : x
  2. Step 2: Convert to fraction form
    902.96/1,355.04 = 416/x
  3. Step 3: Cross multiply
    902.96x = 1,355.04 × 416
  4. Step 4: Simplify right side
    902.96x = 563,696.64
  5. Step 5: Solve for x
    x = 563,696.64/902.96
  6. Step 6: Final answer
    x = 624.28

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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.