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Finding the Fourth Proportional to 550.25, 829.53 and 515.02

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Solution

The fourth proportional to 550.25, 829.53 and 515.02 is: 776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    550.25 : 829.53 = 515.02 : x
  2. Step 2: Convert to fraction form
    550.25/829.53 = 515.02/x
  3. Step 3: Cross multiply
    550.25x = 829.53 × 515.02
  4. Step 4: Simplify right side
    550.25x = 427,222.47
  5. Step 5: Solve for x
    x = 427,222.47/550.25
  6. Step 6: Final answer
    x = 776.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.