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Finding the Fourth Proportional to 1,059.10, 1,588.74 and 481.84

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Solution

The fourth proportional to 1,059.10, 1,588.74 and 481.84 is: 722.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059.10 : 1,588.74 = 481.84 : x
  2. Step 2: Convert to fraction form
    1,059.10/1,588.74 = 481.84/x
  3. Step 3: Cross multiply
    1,059.10x = 1,588.74 × 481.84
  4. Step 4: Simplify right side
    1,059.10x = 765,518.48
  5. Step 5: Solve for x
    x = 765,518.48/1,059.10
  6. Step 6: Final answer
    x = 722.80

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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.