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Finding the Fourth Proportional to 476.24, 656.33 and 383.27

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Solution

The fourth proportional to 476.24, 656.33 and 383.27 is: 528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.24 : 656.33 = 383.27 : x
  2. Step 2: Convert to fraction form
    476.24/656.33 = 383.27/x
  3. Step 3: Cross multiply
    476.24x = 656.33 × 383.27
  4. Step 4: Simplify right side
    476.24x = 251,546.40
  5. Step 5: Solve for x
    x = 251,546.40/476.24
  6. Step 6: Final answer
    x = 528.20

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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.