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Finding the Fourth Proportional to 983.47, 1,474.87 and 436.04

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Solution

The fourth proportional to 983.47, 1,474.87 and 436.04 is: 653.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.47 : 1,474.87 = 436.04 : x
  2. Step 2: Convert to fraction form
    983.47/1,474.87 = 436.04/x
  3. Step 3: Cross multiply
    983.47x = 1,474.87 × 436.04
  4. Step 4: Simplify right side
    983.47x = 643,102.31
  5. Step 5: Solve for x
    x = 643,102.31/983.47
  6. Step 6: Final answer
    x = 653.91

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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.