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Finding the Fourth Proportional to 434.44, 647.89 and 412.96

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Solution

The fourth proportional to 434.44, 647.89 and 412.96 is: 615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.44 : 647.89 = 412.96 : x
  2. Step 2: Convert to fraction form
    434.44/647.89 = 412.96/x
  3. Step 3: Cross multiply
    434.44x = 647.89 × 412.96
  4. Step 4: Simplify right side
    434.44x = 267,552.65
  5. Step 5: Solve for x
    x = 267,552.65/434.44
  6. Step 6: Final answer
    x = 615.86

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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.