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Finding the Fourth Proportional to 1,003.62, 1,384.74 and 610.65

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Solution

The fourth proportional to 1,003.62, 1,384.74 and 610.65 is: 842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.62 : 1,384.74 = 610.65 : x
  2. Step 2: Convert to fraction form
    1,003.62/1,384.74 = 610.65/x
  3. Step 3: Cross multiply
    1,003.62x = 1,384.74 × 610.65
  4. Step 4: Simplify right side
    1,003.62x = 845,591.48
  5. Step 5: Solve for x
    x = 845,591.48/1,003.62
  6. Step 6: Final answer
    x = 842.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.