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Finding the Fourth Proportional to 407.43, 563.14 and 297.67

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Solution

The fourth proportional to 407.43, 563.14 and 297.67 is: 411.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.43 : 563.14 = 297.67 : x
  2. Step 2: Convert to fraction form
    407.43/563.14 = 297.67/x
  3. Step 3: Cross multiply
    407.43x = 563.14 × 297.67
  4. Step 4: Simplify right side
    407.43x = 167,629.88
  5. Step 5: Solve for x
    x = 167,629.88/407.43
  6. Step 6: Final answer
    x = 411.43

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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.