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Finding the Fourth Proportional to 637.42, 954.99 and 406.42

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Solution

The fourth proportional to 637.42, 954.99 and 406.42 is: 608.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.42 : 954.99 = 406.42 : x
  2. Step 2: Convert to fraction form
    637.42/954.99 = 406.42/x
  3. Step 3: Cross multiply
    637.42x = 954.99 × 406.42
  4. Step 4: Simplify right side
    637.42x = 388,124.65
  5. Step 5: Solve for x
    x = 388,124.65/637.42
  6. Step 6: Final answer
    x = 608.90

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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.