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Finding the Fourth Proportional to 476.26, 653.04 and 429.44

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Solution

The fourth proportional to 476.26, 653.04 and 429.44 is: 588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.26 : 653.04 = 429.44 : x
  2. Step 2: Convert to fraction form
    476.26/653.04 = 429.44/x
  3. Step 3: Cross multiply
    476.26x = 653.04 × 429.44
  4. Step 4: Simplify right side
    476.26x = 280,441.50
  5. Step 5: Solve for x
    x = 280,441.50/476.26
  6. Step 6: Final answer
    x = 588.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.