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Finding the Fourth Proportional to 606.71, 910.82 and 298.87

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Solution

The fourth proportional to 606.71, 910.82 and 298.87 is: 448.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.71 : 910.82 = 298.87 : x
  2. Step 2: Convert to fraction form
    606.71/910.82 = 298.87/x
  3. Step 3: Cross multiply
    606.71x = 910.82 × 298.87
  4. Step 4: Simplify right side
    606.71x = 272,215.24
  5. Step 5: Solve for x
    x = 272,215.24/606.71
  6. Step 6: Final answer
    x = 448.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.