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Finding the Fourth Proportional to 476.45, 657.38 and 289.89

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Solution

The fourth proportional to 476.45, 657.38 and 289.89 is: 399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.45 : 657.38 = 289.89 : x
  2. Step 2: Convert to fraction form
    476.45/657.38 = 289.89/x
  3. Step 3: Cross multiply
    476.45x = 657.38 × 289.89
  4. Step 4: Simplify right side
    476.45x = 190,566.44
  5. Step 5: Solve for x
    x = 190,566.44/476.45
  6. Step 6: Final answer
    x = 399.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.