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Finding the Fourth Proportional to 476.88, 718.26 and 453.84

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Solution

The fourth proportional to 476.88, 718.26 and 453.84 is: 683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.88 : 718.26 = 453.84 : x
  2. Step 2: Convert to fraction form
    476.88/718.26 = 453.84/x
  3. Step 3: Cross multiply
    476.88x = 718.26 × 453.84
  4. Step 4: Simplify right side
    476.88x = 325,975.12
  5. Step 5: Solve for x
    x = 325,975.12/476.88
  6. Step 6: Final answer
    x = 683.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.