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Finding the Fourth Proportional to 449.34, 670.35 and 407.42

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Solution

The fourth proportional to 449.34, 670.35 and 407.42 is: 607.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.34 : 670.35 = 407.42 : x
  2. Step 2: Convert to fraction form
    449.34/670.35 = 407.42/x
  3. Step 3: Cross multiply
    449.34x = 670.35 × 407.42
  4. Step 4: Simplify right side
    449.34x = 273,114.00
  5. Step 5: Solve for x
    x = 273,114.00/449.34
  6. Step 6: Final answer
    x = 607.81

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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.