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Finding the Fourth Proportional to 709.41, 1,062.06 and 641.10

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Solution

The fourth proportional to 709.41, 1,062.06 and 641.10 is: 959.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.41 : 1,062.06 = 641.10 : x
  2. Step 2: Convert to fraction form
    709.41/1,062.06 = 641.10/x
  3. Step 3: Cross multiply
    709.41x = 1,062.06 × 641.10
  4. Step 4: Simplify right side
    709.41x = 680,886.67
  5. Step 5: Solve for x
    x = 680,886.67/709.41
  6. Step 6: Final answer
    x = 959.79

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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.