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Finding the Fourth Proportional to 1,071.26, 1,605.90 and 421.85

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Solution

The fourth proportional to 1,071.26, 1,605.90 and 421.85 is: 632.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.26 : 1,605.90 = 421.85 : x
  2. Step 2: Convert to fraction form
    1,071.26/1,605.90 = 421.85/x
  3. Step 3: Cross multiply
    1,071.26x = 1,605.90 × 421.85
  4. Step 4: Simplify right side
    1,071.26x = 677,448.92
  5. Step 5: Solve for x
    x = 677,448.92/1,071.26
  6. Step 6: Final answer
    x = 632.39

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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.