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Finding the Fourth Proportional to 776.04, 1,163.32 and 409.72

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Solution

The fourth proportional to 776.04, 1,163.32 and 409.72 is: 614.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.04 : 1,163.32 = 409.72 : x
  2. Step 2: Convert to fraction form
    776.04/1,163.32 = 409.72/x
  3. Step 3: Cross multiply
    776.04x = 1,163.32 × 409.72
  4. Step 4: Simplify right side
    776.04x = 476,638.24
  5. Step 5: Solve for x
    x = 476,638.24/776.04
  6. Step 6: Final answer
    x = 614.19

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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.