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Finding the Fourth Proportional to 476.55, 656.84 and 328.86

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Solution

The fourth proportional to 476.55, 656.84 and 328.86 is: 453.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.55 : 656.84 = 328.86 : x
  2. Step 2: Convert to fraction form
    476.55/656.84 = 328.86/x
  3. Step 3: Cross multiply
    476.55x = 656.84 × 328.86
  4. Step 4: Simplify right side
    476.55x = 216,009.22
  5. Step 5: Solve for x
    x = 216,009.22/476.55
  6. Step 6: Final answer
    x = 453.28

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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.