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Finding the Fourth Proportional to 642.30, 968.94 and 623.15

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Solution

The fourth proportional to 642.30, 968.94 and 623.15 is: 940.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.30 : 968.94 = 623.15 : x
  2. Step 2: Convert to fraction form
    642.30/968.94 = 623.15/x
  3. Step 3: Cross multiply
    642.30x = 968.94 × 623.15
  4. Step 4: Simplify right side
    642.30x = 603,791.85
  5. Step 5: Solve for x
    x = 603,791.85/642.30
  6. Step 6: Final answer
    x = 940.05

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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.