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Finding the Fourth Proportional to 1,243.47, 1,863.90 and 421.46

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Solution

The fourth proportional to 1,243.47, 1,863.90 and 421.46 is: 631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243.47 : 1,863.90 = 421.46 : x
  2. Step 2: Convert to fraction form
    1,243.47/1,863.90 = 421.46/x
  3. Step 3: Cross multiply
    1,243.47x = 1,863.90 × 421.46
  4. Step 4: Simplify right side
    1,243.47x = 785,549.97
  5. Step 5: Solve for x
    x = 785,549.97/1,243.47
  6. Step 6: Final answer
    x = 631.74

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1.5x scale

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.