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Finding the Fourth Proportional to 983.87, 1,474.80 and 436.31

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Solution

The fourth proportional to 983.87, 1,474.80 and 436.31 is: 654.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.87 : 1,474.80 = 436.31 : x
  2. Step 2: Convert to fraction form
    983.87/1,474.80 = 436.31/x
  3. Step 3: Cross multiply
    983.87x = 1,474.80 × 436.31
  4. Step 4: Simplify right side
    983.87x = 643,472.04
  5. Step 5: Solve for x
    x = 643,472.04/983.87
  6. Step 6: Final answer
    x = 654.02

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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.