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Finding the Fourth Proportional to 742.21, 1,023.93 and 427.41

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Solution

The fourth proportional to 742.21, 1,023.93 and 427.41 is: 589.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.21 : 1,023.93 = 427.41 : x
  2. Step 2: Convert to fraction form
    742.21/1,023.93 = 427.41/x
  3. Step 3: Cross multiply
    742.21x = 1,023.93 × 427.41
  4. Step 4: Simplify right side
    742.21x = 437,637.92
  5. Step 5: Solve for x
    x = 437,637.92/742.21
  6. Step 6: Final answer
    x = 589.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.