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Finding the Fourth Proportional to 1,243.46, 1,865.46 and 421.58

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Solution

The fourth proportional to 1,243.46, 1,865.46 and 421.58 is: 632.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.46 : 1,865.46 = 421.58 : x
  2. Step 2: Convert to fraction form
    1,243.46/1,865.46 = 421.58/x
  3. Step 3: Cross multiply
    1,243.46x = 1,865.46 × 421.58
  4. Step 4: Simplify right side
    1,243.46x = 786,440.63
  5. Step 5: Solve for x
    x = 786,440.63/1,243.46
  6. Step 6: Final answer
    x = 632.46

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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.