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Finding the Fourth Proportional to 776.48, 1,165.31 and 411.35

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Solution

The fourth proportional to 776.48, 1,165.31 and 411.35 is: 617.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.48 : 1,165.31 = 411.35 : x
  2. Step 2: Convert to fraction form
    776.48/1,165.31 = 411.35/x
  3. Step 3: Cross multiply
    776.48x = 1,165.31 × 411.35
  4. Step 4: Simplify right side
    776.48x = 479,352.67
  5. Step 5: Solve for x
    x = 479,352.67/776.48
  6. Step 6: Final answer
    x = 617.34

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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.