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Finding the Fourth Proportional to 468.68, 703.50 and 331.88

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Solution

The fourth proportional to 468.68, 703.50 and 331.88 is: 498.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.68 : 703.50 = 331.88 : x
  2. Step 2: Convert to fraction form
    468.68/703.50 = 331.88/x
  3. Step 3: Cross multiply
    468.68x = 703.50 × 331.88
  4. Step 4: Simplify right side
    468.68x = 233,477.58
  5. Step 5: Solve for x
    x = 233,477.58/468.68
  6. Step 6: Final answer
    x = 498.16

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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.