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Finding the Fourth Proportional to 776.40, 1,162.92 and 405.56

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Solution

The fourth proportional to 776.40, 1,162.92 and 405.56 is: 607.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.40 : 1,162.92 = 405.56 : x
  2. Step 2: Convert to fraction form
    776.40/1,162.92 = 405.56/x
  3. Step 3: Cross multiply
    776.40x = 1,162.92 × 405.56
  4. Step 4: Simplify right side
    776.40x = 471,633.84
  5. Step 5: Solve for x
    x = 471,633.84/776.40
  6. Step 6: Final answer
    x = 607.46

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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.