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Finding the Fourth Proportional to 1,052.58, 1,453.08 and 659.82

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Solution

The fourth proportional to 1,052.58, 1,453.08 and 659.82 is: 910.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.58 : 1,453.08 = 659.82 : x
  2. Step 2: Convert to fraction form
    1,052.58/1,453.08 = 659.82/x
  3. Step 3: Cross multiply
    1,052.58x = 1,453.08 × 659.82
  4. Step 4: Simplify right side
    1,052.58x = 958,771.25
  5. Step 5: Solve for x
    x = 958,771.25/1,052.58
  6. Step 6: Final answer
    x = 910.88

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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.