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Finding the Fourth Proportional to 983.45, 1,472.29 and 596.09

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Solution

The fourth proportional to 983.45, 1,472.29 and 596.09 is: 892.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.45 : 1,472.29 = 596.09 : x
  2. Step 2: Convert to fraction form
    983.45/1,472.29 = 596.09/x
  3. Step 3: Cross multiply
    983.45x = 1,472.29 × 596.09
  4. Step 4: Simplify right side
    983.45x = 877,608.49
  5. Step 5: Solve for x
    x = 877,608.49/983.45
  6. Step 6: Final answer
    x = 892.38

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1.5x scale

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.