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Finding the Fourth Proportional to 407.73, 608.63 and 377.69

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Solution

The fourth proportional to 407.73, 608.63 and 377.69 is: 563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.73 : 608.63 = 377.69 : x
  2. Step 2: Convert to fraction form
    407.73/608.63 = 377.69/x
  3. Step 3: Cross multiply
    407.73x = 608.63 × 377.69
  4. Step 4: Simplify right side
    407.73x = 229,871.00
  5. Step 5: Solve for x
    x = 229,871.00/407.73
  6. Step 6: Final answer
    x = 563.79

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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.