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Finding the Fourth Proportional to 979.69, 1,352.09 and 565.69

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Solution

The fourth proportional to 979.69, 1,352.09 and 565.69 is: 780.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.69 : 1,352.09 = 565.69 : x
  2. Step 2: Convert to fraction form
    979.69/1,352.09 = 565.69/x
  3. Step 3: Cross multiply
    979.69x = 1,352.09 × 565.69
  4. Step 4: Simplify right side
    979.69x = 764,860.41
  5. Step 5: Solve for x
    x = 764,860.41/979.69
  6. Step 6: Final answer
    x = 780.72

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