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Finding the Fourth Proportional to 446.06, 665.58 and 397.34

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Solution

The fourth proportional to 446.06, 665.58 and 397.34 is: 592.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.06 : 665.58 = 397.34 : x
  2. Step 2: Convert to fraction form
    446.06/665.58 = 397.34/x
  3. Step 3: Cross multiply
    446.06x = 665.58 × 397.34
  4. Step 4: Simplify right side
    446.06x = 264,459.57
  5. Step 5: Solve for x
    x = 264,459.57/446.06
  6. Step 6: Final answer
    x = 592.88

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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.