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Finding the Fourth Proportional to 490.34, 734.31 and 468.14

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Solution

The fourth proportional to 490.34, 734.31 and 468.14 is: 701.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.34 : 734.31 = 468.14 : x
  2. Step 2: Convert to fraction form
    490.34/734.31 = 468.14/x
  3. Step 3: Cross multiply
    490.34x = 734.31 × 468.14
  4. Step 4: Simplify right side
    490.34x = 343,756.21
  5. Step 5: Solve for x
    x = 343,756.21/490.34
  6. Step 6: Final answer
    x = 701.05

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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.