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Finding the Fourth Proportional to 615.77, 918.89 and 550.07

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Solution

The fourth proportional to 615.77, 918.89 and 550.07 is: 820.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.77 : 918.89 = 550.07 : x
  2. Step 2: Convert to fraction form
    615.77/918.89 = 550.07/x
  3. Step 3: Cross multiply
    615.77x = 918.89 × 550.07
  4. Step 4: Simplify right side
    615.77x = 505,453.82
  5. Step 5: Solve for x
    x = 505,453.82/615.77
  6. Step 6: Final answer
    x = 820.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.