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Finding the Fourth Proportional to 983.17, 1,474.55 and 544.85

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Solution

The fourth proportional to 983.17, 1,474.55 and 544.85 is: 817.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.17 : 1,474.55 = 544.85 : x
  2. Step 2: Convert to fraction form
    983.17/1,474.55 = 544.85/x
  3. Step 3: Cross multiply
    983.17x = 1,474.55 × 544.85
  4. Step 4: Simplify right side
    983.17x = 803,408.57
  5. Step 5: Solve for x
    x = 803,408.57/983.17
  6. Step 6: Final answer
    x = 817.16

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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.