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Finding the Fourth Proportional to 468.59, 703.29 and 306.45

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Solution

The fourth proportional to 468.59, 703.29 and 306.45 is: 459.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.59 : 703.29 = 306.45 : x
  2. Step 2: Convert to fraction form
    468.59/703.29 = 306.45/x
  3. Step 3: Cross multiply
    468.59x = 703.29 × 306.45
  4. Step 4: Simplify right side
    468.59x = 215,523.22
  5. Step 5: Solve for x
    x = 215,523.22/468.59
  6. Step 6: Final answer
    x = 459.94

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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.