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Finding the Fourth Proportional to 648.71, 972.60 and 442.64

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Solution

The fourth proportional to 648.71, 972.60 and 442.64 is: 663.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.71 : 972.60 = 442.64 : x
  2. Step 2: Convert to fraction form
    648.71/972.60 = 442.64/x
  3. Step 3: Cross multiply
    648.71x = 972.60 × 442.64
  4. Step 4: Simplify right side
    648.71x = 430,504.59
  5. Step 5: Solve for x
    x = 430,504.59/648.71
  6. Step 6: Final answer
    x = 663.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.