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Finding the Fourth Proportional to 1,455.50, 2,009 and 834.50

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Solution

The fourth proportional to 1,455.50, 2,009 and 834.50 is: 1,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.50 : 2,009 = 834.50 : x
  2. Step 2: Convert to fraction form
    1,455.50/2,009 = 834.50/x
  3. Step 3: Cross multiply
    1,455.50x = 2,009 × 834.50
  4. Step 4: Simplify right side
    1,455.50x = 1,676,510.50
  5. Step 5: Solve for x
    x = 1,676,510.50/1,455.50
  6. Step 6: Final answer
    x = 1,151.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.