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Finding the Fourth Proportional to 407.93, 563.73 and 303.17

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Solution

The fourth proportional to 407.93, 563.73 and 303.17 is: 418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.93 : 563.73 = 303.17 : x
  2. Step 2: Convert to fraction form
    407.93/563.73 = 303.17/x
  3. Step 3: Cross multiply
    407.93x = 563.73 × 303.17
  4. Step 4: Simplify right side
    407.93x = 170,906.02
  5. Step 5: Solve for x
    x = 170,906.02/407.93
  6. Step 6: Final answer
    x = 418.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.