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Finding the Fourth Proportional to 983.56, 1,474.56 and 435.34

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Solution

The fourth proportional to 983.56, 1,474.56 and 435.34 is: 652.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.56 : 1,474.56 = 435.34 : x
  2. Step 2: Convert to fraction form
    983.56/1,474.56 = 435.34/x
  3. Step 3: Cross multiply
    983.56x = 1,474.56 × 435.34
  4. Step 4: Simplify right side
    983.56x = 641,934.95
  5. Step 5: Solve for x
    x = 641,934.95/983.56
  6. Step 6: Final answer
    x = 652.66

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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.