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Finding the Fourth Proportional to 1,394.68, 2,091.63 and 420.64

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Solution

The fourth proportional to 1,394.68, 2,091.63 and 420.64 is: 630.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.68 : 2,091.63 = 420.64 : x
  2. Step 2: Convert to fraction form
    1,394.68/2,091.63 = 420.64/x
  3. Step 3: Cross multiply
    1,394.68x = 2,091.63 × 420.64
  4. Step 4: Simplify right side
    1,394.68x = 879,823.24
  5. Step 5: Solve for x
    x = 879,823.24/1,394.68
  6. Step 6: Final answer
    x = 630.84

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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.