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Finding the Fourth Proportional to 662.76, 914.50 and 414.12

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Solution

The fourth proportional to 662.76, 914.50 and 414.12 is: 571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.76 : 914.50 = 414.12 : x
  2. Step 2: Convert to fraction form
    662.76/914.50 = 414.12/x
  3. Step 3: Cross multiply
    662.76x = 914.50 × 414.12
  4. Step 4: Simplify right side
    662.76x = 378,712.74
  5. Step 5: Solve for x
    x = 378,712.74/662.76
  6. Step 6: Final answer
    x = 571.42

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1.5x scale

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.