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Finding the Fourth Proportional to 776.18, 1,070.67 and 481.23

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Solution

The fourth proportional to 776.18, 1,070.67 and 481.23 is: 663.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.18 : 1,070.67 = 481.23 : x
  2. Step 2: Convert to fraction form
    776.18/1,070.67 = 481.23/x
  3. Step 3: Cross multiply
    776.18x = 1,070.67 × 481.23
  4. Step 4: Simplify right side
    776.18x = 515,238.52
  5. Step 5: Solve for x
    x = 515,238.52/776.18
  6. Step 6: Final answer
    x = 663.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.