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Finding the Fourth Proportional to 983.89, 1,475.44 and 398.77

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Solution

The fourth proportional to 983.89, 1,475.44 and 398.77 is: 597.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.89 : 1,475.44 = 398.77 : x
  2. Step 2: Convert to fraction form
    983.89/1,475.44 = 398.77/x
  3. Step 3: Cross multiply
    983.89x = 1,475.44 × 398.77
  4. Step 4: Simplify right side
    983.89x = 588,359.21
  5. Step 5: Solve for x
    x = 588,359.21/983.89
  6. Step 6: Final answer
    x = 597.99

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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.