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Finding the Fourth Proportional to 457.35, 681.90 and 449.15

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Solution

The fourth proportional to 457.35, 681.90 and 449.15 is: 669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.35 : 681.90 = 449.15 : x
  2. Step 2: Convert to fraction form
    457.35/681.90 = 449.15/x
  3. Step 3: Cross multiply
    457.35x = 681.90 × 449.15
  4. Step 4: Simplify right side
    457.35x = 306,271.98
  5. Step 5: Solve for x
    x = 306,271.98/457.35
  6. Step 6: Final answer
    x = 669.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.