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Finding the Fourth Proportional to 476.17, 656.74 and 335.86

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Solution

The fourth proportional to 476.17, 656.74 and 335.86 is: 463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.17 : 656.74 = 335.86 : x
  2. Step 2: Convert to fraction form
    476.17/656.74 = 335.86/x
  3. Step 3: Cross multiply
    476.17x = 656.74 × 335.86
  4. Step 4: Simplify right side
    476.17x = 220,572.70
  5. Step 5: Solve for x
    x = 220,572.70/476.17
  6. Step 6: Final answer
    x = 463.22

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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.