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Finding the Fourth Proportional to 1,402.85, 2,104.34 and 415.67

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Solution

The fourth proportional to 1,402.85, 2,104.34 and 415.67 is: 623.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.85 : 2,104.34 = 415.67 : x
  2. Step 2: Convert to fraction form
    1,402.85/2,104.34 = 415.67/x
  3. Step 3: Cross multiply
    1,402.85x = 2,104.34 × 415.67
  4. Step 4: Simplify right side
    1,402.85x = 874,711.01
  5. Step 5: Solve for x
    x = 874,711.01/1,402.85
  6. Step 6: Final answer
    x = 623.52

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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.