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Finding the Fourth Proportional to 709.35, 975.81 and 620.45

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Solution

The fourth proportional to 709.35, 975.81 and 620.45 is: 853.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.35 : 975.81 = 620.45 : x
  2. Step 2: Convert to fraction form
    709.35/975.81 = 620.45/x
  3. Step 3: Cross multiply
    709.35x = 975.81 × 620.45
  4. Step 4: Simplify right side
    709.35x = 605,441.31
  5. Step 5: Solve for x
    x = 605,441.31/709.35
  6. Step 6: Final answer
    x = 853.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.