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Finding the Fourth Proportional to 642.96, 959.79 and 597.96

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Solution

The fourth proportional to 642.96, 959.79 and 597.96 is: 892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.96 : 959.79 = 597.96 : x
  2. Step 2: Convert to fraction form
    642.96/959.79 = 597.96/x
  3. Step 3: Cross multiply
    642.96x = 959.79 × 597.96
  4. Step 4: Simplify right side
    642.96x = 573,916.03
  5. Step 5: Solve for x
    x = 573,916.03/642.96
  6. Step 6: Final answer
    x = 892.62

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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.