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Finding the Fourth Proportional to 1,395.40, 2,093.12 and 421.55

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Solution

The fourth proportional to 1,395.40, 2,093.12 and 421.55 is: 632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.40 : 2,093.12 = 421.55 : x
  2. Step 2: Convert to fraction form
    1,395.40/2,093.12 = 421.55/x
  3. Step 3: Cross multiply
    1,395.40x = 2,093.12 × 421.55
  4. Step 4: Simplify right side
    1,395.40x = 882,344.27
  5. Step 5: Solve for x
    x = 882,344.27/1,395.40
  6. Step 6: Final answer
    x = 632.32

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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.