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Finding the Fourth Proportional to 420.83, 631.57 and 297.67

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Solution

The fourth proportional to 420.83, 631.57 and 297.67 is: 446.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.83 : 631.57 = 297.67 : x
  2. Step 2: Convert to fraction form
    420.83/631.57 = 297.67/x
  3. Step 3: Cross multiply
    420.83x = 631.57 × 297.67
  4. Step 4: Simplify right side
    420.83x = 187,997.12
  5. Step 5: Solve for x
    x = 187,997.12/420.83
  6. Step 6: Final answer
    x = 446.73

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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.