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Finding the Fourth Proportional to 1,071.77, 1,604.69 and 550.65

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Solution

The fourth proportional to 1,071.77, 1,604.69 and 550.65 is: 824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.77 : 1,604.69 = 550.65 : x
  2. Step 2: Convert to fraction form
    1,071.77/1,604.69 = 550.65/x
  3. Step 3: Cross multiply
    1,071.77x = 1,604.69 × 550.65
  4. Step 4: Simplify right side
    1,071.77x = 883,622.55
  5. Step 5: Solve for x
    x = 883,622.55/1,071.77
  6. Step 6: Final answer
    x = 824.45

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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.