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Finding the Fourth Proportional to 983.66, 1,356.69 and 610.86

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Solution

The fourth proportional to 983.66, 1,356.69 and 610.86 is: 842.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.66 : 1,356.69 = 610.86 : x
  2. Step 2: Convert to fraction form
    983.66/1,356.69 = 610.86/x
  3. Step 3: Cross multiply
    983.66x = 1,356.69 × 610.86
  4. Step 4: Simplify right side
    983.66x = 828,747.65
  5. Step 5: Solve for x
    x = 828,747.65/983.66
  6. Step 6: Final answer
    x = 842.51

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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.