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Finding the Fourth Proportional to 1,152.50, 1,588.83 and 821.75

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Solution

The fourth proportional to 1,152.50, 1,588.83 and 821.75 is: 1,132.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.50 : 1,588.83 = 821.75 : x
  2. Step 2: Convert to fraction form
    1,152.50/1,588.83 = 821.75/x
  3. Step 3: Cross multiply
    1,152.50x = 1,588.83 × 821.75
  4. Step 4: Simplify right side
    1,152.50x = 1,305,621.05
  5. Step 5: Solve for x
    x = 1,305,621.05/1,152.50
  6. Step 6: Final answer
    x = 1,132.86

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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.