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Finding the Fourth Proportional to 407.94, 608.90 and 377.83

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Solution

The fourth proportional to 407.94, 608.90 and 377.83 is: 563.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.94 : 608.90 = 377.83 : x
  2. Step 2: Convert to fraction form
    407.94/608.90 = 377.83/x
  3. Step 3: Cross multiply
    407.94x = 608.90 × 377.83
  4. Step 4: Simplify right side
    407.94x = 230,060.69
  5. Step 5: Solve for x
    x = 230,060.69/407.94
  6. Step 6: Final answer
    x = 563.96

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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.