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Finding the Fourth Proportional to 776.13, 1,070.67 and 496.08

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Solution

The fourth proportional to 776.13, 1,070.67 and 496.08 is: 684.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.13 : 1,070.67 = 496.08 : x
  2. Step 2: Convert to fraction form
    776.13/1,070.67 = 496.08/x
  3. Step 3: Cross multiply
    776.13x = 1,070.67 × 496.08
  4. Step 4: Simplify right side
    776.13x = 531,137.97
  5. Step 5: Solve for x
    x = 531,137.97/776.13
  6. Step 6: Final answer
    x = 684.34

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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.