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Finding the Fourth Proportional to 983.86, 1,476.30 and 436.42

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Solution

The fourth proportional to 983.86, 1,476.30 and 436.42 is: 654.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.86 : 1,476.30 = 436.42 : x
  2. Step 2: Convert to fraction form
    983.86/1,476.30 = 436.42/x
  3. Step 3: Cross multiply
    983.86x = 1,476.30 × 436.42
  4. Step 4: Simplify right side
    983.86x = 644,286.85
  5. Step 5: Solve for x
    x = 644,286.85/983.86
  6. Step 6: Final answer
    x = 654.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.