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Finding the Fourth Proportional to 776.84, 1,164.29 and 556.32

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Solution

The fourth proportional to 776.84, 1,164.29 and 556.32 is: 833.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.84 : 1,164.29 = 556.32 : x
  2. Step 2: Convert to fraction form
    776.84/1,164.29 = 556.32/x
  3. Step 3: Cross multiply
    776.84x = 1,164.29 × 556.32
  4. Step 4: Simplify right side
    776.84x = 647,717.81
  5. Step 5: Solve for x
    x = 647,717.81/776.84
  6. Step 6: Final answer
    x = 833.79

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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.