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Finding the Fourth Proportional to 647.55, 976.14 and 637.83

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Solution

The fourth proportional to 647.55, 976.14 and 637.83 is: 961.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.55 : 976.14 = 637.83 : x
  2. Step 2: Convert to fraction form
    647.55/976.14 = 637.83/x
  3. Step 3: Cross multiply
    647.55x = 976.14 × 637.83
  4. Step 4: Simplify right side
    647.55x = 622,611.38
  5. Step 5: Solve for x
    x = 622,611.38/647.55
  6. Step 6: Final answer
    x = 961.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.