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Finding the Fourth Proportional to 983.30, 1,357.82 and 610.91

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Solution

The fourth proportional to 983.30, 1,357.82 and 610.91 is: 843.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.30 : 1,357.82 = 610.91 : x
  2. Step 2: Convert to fraction form
    983.30/1,357.82 = 610.91/x
  3. Step 3: Cross multiply
    983.30x = 1,357.82 × 610.91
  4. Step 4: Simplify right side
    983.30x = 829,502.35
  5. Step 5: Solve for x
    x = 829,502.35/983.30
  6. Step 6: Final answer
    x = 843.59

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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.