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Finding the Fourth Proportional to 437.10, 658.29 and 412.80

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Solution

The fourth proportional to 437.10, 658.29 and 412.80 is: 621.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.10 : 658.29 = 412.80 : x
  2. Step 2: Convert to fraction form
    437.10/658.29 = 412.80/x
  3. Step 3: Cross multiply
    437.10x = 658.29 × 412.80
  4. Step 4: Simplify right side
    437.10x = 271,742.11
  5. Step 5: Solve for x
    x = 271,742.11/437.10
  6. Step 6: Final answer
    x = 621.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.