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Finding the Fourth Proportional to 642.96, 958.89 and 599.22

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Solution

The fourth proportional to 642.96, 958.89 and 599.22 is: 893.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.96 : 958.89 = 599.22 : x
  2. Step 2: Convert to fraction form
    642.96/958.89 = 599.22/x
  3. Step 3: Cross multiply
    642.96x = 958.89 × 599.22
  4. Step 4: Simplify right side
    642.96x = 574,586.07
  5. Step 5: Solve for x
    x = 574,586.07/642.96
  6. Step 6: Final answer
    x = 893.66

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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.