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Finding the Fourth Proportional to 642.06, 959.34 and 518.70

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Solution

The fourth proportional to 642.06, 959.34 and 518.70 is: 775.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.06 : 959.34 = 518.70 : x
  2. Step 2: Convert to fraction form
    642.06/959.34 = 518.70/x
  3. Step 3: Cross multiply
    642.06x = 959.34 × 518.70
  4. Step 4: Simplify right side
    642.06x = 497,609.66
  5. Step 5: Solve for x
    x = 497,609.66/642.06
  6. Step 6: Final answer
    x = 775.02

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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.