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Finding the Fourth Proportional to 983.73, 1,476.11 and 436.29

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Solution

The fourth proportional to 983.73, 1,476.11 and 436.29 is: 654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.73 : 1,476.11 = 436.29 : x
  2. Step 2: Convert to fraction form
    983.73/1,476.11 = 436.29/x
  3. Step 3: Cross multiply
    983.73x = 1,476.11 × 436.29
  4. Step 4: Simplify right side
    983.73x = 644,009.85
  5. Step 5: Solve for x
    x = 644,009.85/983.73
  6. Step 6: Final answer
    x = 654.66

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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.