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Finding the Fourth Proportional to 630.80, 942.32 and 455.97

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Solution

The fourth proportional to 630.80, 942.32 and 455.97 is: 681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.80 : 942.32 = 455.97 : x
  2. Step 2: Convert to fraction form
    630.80/942.32 = 455.97/x
  3. Step 3: Cross multiply
    630.80x = 942.32 × 455.97
  4. Step 4: Simplify right side
    630.80x = 429,667.37
  5. Step 5: Solve for x
    x = 429,667.37/630.80
  6. Step 6: Final answer
    x = 681.15

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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.