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Finding the Fourth Proportional to 776.80, 1,165.20 and 502.21

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Solution

The fourth proportional to 776.80, 1,165.20 and 502.21 is: 753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.80 : 1,165.20 = 502.21 : x
  2. Step 2: Convert to fraction form
    776.80/1,165.20 = 502.21/x
  3. Step 3: Cross multiply
    776.80x = 1,165.20 × 502.21
  4. Step 4: Simplify right side
    776.80x = 585,175.09
  5. Step 5: Solve for x
    x = 585,175.09/776.80
  6. Step 6: Final answer
    x = 753.32

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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.