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Finding the Fourth Proportional to 902.33, 1,353.50 and 415.72

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Solution

The fourth proportional to 902.33, 1,353.50 and 415.72 is: 623.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.33 : 1,353.50 = 415.72 : x
  2. Step 2: Convert to fraction form
    902.33/1,353.50 = 415.72/x
  3. Step 3: Cross multiply
    902.33x = 1,353.50 × 415.72
  4. Step 4: Simplify right side
    902.33x = 562,674.94
  5. Step 5: Solve for x
    x = 562,674.94/902.33
  6. Step 6: Final answer
    x = 623.58

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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.