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Finding the Fourth Proportional to 468.96, 703.85 and 306.84

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Solution

The fourth proportional to 468.96, 703.85 and 306.84 is: 460.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.96 : 703.85 = 306.84 : x
  2. Step 2: Convert to fraction form
    468.96/703.85 = 306.84/x
  3. Step 3: Cross multiply
    468.96x = 703.85 × 306.84
  4. Step 4: Simplify right side
    468.96x = 215,967.80
  5. Step 5: Solve for x
    x = 215,967.80/468.96
  6. Step 6: Final answer
    x = 460.52

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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.