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Finding the Fourth Proportional to 407.69, 612.88 and 377.62

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Solution

The fourth proportional to 407.69, 612.88 and 377.62 is: 567.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.69 : 612.88 = 377.62 : x
  2. Step 2: Convert to fraction form
    407.69/612.88 = 377.62/x
  3. Step 3: Cross multiply
    407.69x = 612.88 × 377.62
  4. Step 4: Simplify right side
    407.69x = 231,435.75
  5. Step 5: Solve for x
    x = 231,435.75/407.69
  6. Step 6: Final answer
    x = 567.68

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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.