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Finding the Fourth Proportional to 1,156.50, 1,734 and 983.24

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Solution

The fourth proportional to 1,156.50, 1,734 and 983.24 is: 1,474.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.50 : 1,734 = 983.24 : x
  2. Step 2: Convert to fraction form
    1,156.50/1,734 = 983.24/x
  3. Step 3: Cross multiply
    1,156.50x = 1,734 × 983.24
  4. Step 4: Simplify right side
    1,156.50x = 1,704,929.49
  5. Step 5: Solve for x
    x = 1,704,929.49/1,156.50
  6. Step 6: Final answer
    x = 1,474.21

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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.