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Finding the Fourth Proportional to 776.99, 1,164.58 and 694.98

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Solution

The fourth proportional to 776.99, 1,164.58 and 694.98 is: 1,041.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.99 : 1,164.58 = 694.98 : x
  2. Step 2: Convert to fraction form
    776.99/1,164.58 = 694.98/x
  3. Step 3: Cross multiply
    776.99x = 1,164.58 × 694.98
  4. Step 4: Simplify right side
    776.99x = 809,358.07
  5. Step 5: Solve for x
    x = 809,358.07/776.99
  6. Step 6: Final answer
    x = 1,041.65

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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.