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Finding the Fourth Proportional to 647.38, 894.43 and 451.77

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Solution

The fourth proportional to 647.38, 894.43 and 451.77 is: 624.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.38 : 894.43 = 451.77 : x
  2. Step 2: Convert to fraction form
    647.38/894.43 = 451.77/x
  3. Step 3: Cross multiply
    647.38x = 894.43 × 451.77
  4. Step 4: Simplify right side
    647.38x = 404,072.16
  5. Step 5: Solve for x
    x = 404,072.16/647.38
  6. Step 6: Final answer
    x = 624.16

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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.