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Finding the Fourth Proportional to 647.15, 970.77 and 550.33

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Solution

The fourth proportional to 647.15, 970.77 and 550.33 is: 825.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.15 : 970.77 = 550.33 : x
  2. Step 2: Convert to fraction form
    647.15/970.77 = 550.33/x
  3. Step 3: Cross multiply
    647.15x = 970.77 × 550.33
  4. Step 4: Simplify right side
    647.15x = 534,243.85
  5. Step 5: Solve for x
    x = 534,243.85/647.15
  6. Step 6: Final answer
    x = 825.53

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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.