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Finding the Fourth Proportional to 983.41, 1,474.99 and 617.08

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Solution

The fourth proportional to 983.41, 1,474.99 and 617.08 is: 925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.41 : 1,474.99 = 617.08 : x
  2. Step 2: Convert to fraction form
    983.41/1,474.99 = 617.08/x
  3. Step 3: Cross multiply
    983.41x = 1,474.99 × 617.08
  4. Step 4: Simplify right side
    983.41x = 910,186.83
  5. Step 5: Solve for x
    x = 910,186.83/983.41
  6. Step 6: Final answer
    x = 925.54

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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.