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Finding the Fourth Proportional to 1,395.32, 2,092.68 and 421.20

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Solution

The fourth proportional to 1,395.32, 2,092.68 and 421.20 is: 631.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.32 : 2,092.68 = 421.20 : x
  2. Step 2: Convert to fraction form
    1,395.32/2,092.68 = 421.20/x
  3. Step 3: Cross multiply
    1,395.32x = 2,092.68 × 421.20
  4. Step 4: Simplify right side
    1,395.32x = 881,436.82
  5. Step 5: Solve for x
    x = 881,436.82/1,395.32
  6. Step 6: Final answer
    x = 631.71

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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.