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Finding the Fourth Proportional to 476.28, 659.75 and 466.56

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Solution

The fourth proportional to 476.28, 659.75 and 466.56 is: 646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.28 : 659.75 = 466.56 : x
  2. Step 2: Convert to fraction form
    476.28/659.75 = 466.56/x
  3. Step 3: Cross multiply
    476.28x = 659.75 × 466.56
  4. Step 4: Simplify right side
    476.28x = 307,810.63
  5. Step 5: Solve for x
    x = 307,810.63/476.28
  6. Step 6: Final answer
    x = 646.28

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.