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Finding the Fourth Proportional to 446.70, 668.70 and 398.10

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Solution

The fourth proportional to 446.70, 668.70 and 398.10 is: 595.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.70 : 668.70 = 398.10 : x
  2. Step 2: Convert to fraction form
    446.70/668.70 = 398.10/x
  3. Step 3: Cross multiply
    446.70x = 668.70 × 398.10
  4. Step 4: Simplify right side
    446.70x = 266,209.47
  5. Step 5: Solve for x
    x = 266,209.47/446.70
  6. Step 6: Final answer
    x = 595.95

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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.