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Finding the Fourth Proportional to 662.74, 914.68 and 476.84

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Solution

The fourth proportional to 662.74, 914.68 and 476.84 is: 658.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.74 : 914.68 = 476.84 : x
  2. Step 2: Convert to fraction form
    662.74/914.68 = 476.84/x
  3. Step 3: Cross multiply
    662.74x = 914.68 × 476.84
  4. Step 4: Simplify right side
    662.74x = 436,157.11
  5. Step 5: Solve for x
    x = 436,157.11/662.74
  6. Step 6: Final answer
    x = 658.11

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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.