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Finding the Fourth Proportional to 776.93, 1,161.95 and 690.86

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Solution

The fourth proportional to 776.93, 1,161.95 and 690.86 is: 1,033.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.93 : 1,161.95 = 690.86 : x
  2. Step 2: Convert to fraction form
    776.93/1,161.95 = 690.86/x
  3. Step 3: Cross multiply
    776.93x = 1,161.95 × 690.86
  4. Step 4: Simplify right side
    776.93x = 802,744.23
  5. Step 5: Solve for x
    x = 802,744.23/776.93
  6. Step 6: Final answer
    x = 1,033.23

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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.