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Finding the Fourth Proportional to 693.73, 1,034.01 and 641.06

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Solution

The fourth proportional to 693.73, 1,034.01 and 641.06 is: 955.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.73 : 1,034.01 = 641.06 : x
  2. Step 2: Convert to fraction form
    693.73/1,034.01 = 641.06/x
  3. Step 3: Cross multiply
    693.73x = 1,034.01 × 641.06
  4. Step 4: Simplify right side
    693.73x = 662,859.25
  5. Step 5: Solve for x
    x = 662,859.25/693.73
  6. Step 6: Final answer
    x = 955.51

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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.