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Finding the Fourth Proportional to 1,175.25, 1,761.53 and 558.08

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Solution

The fourth proportional to 1,175.25, 1,761.53 and 558.08 is: 836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,175.25 : 1,761.53 = 558.08 : x
  2. Step 2: Convert to fraction form
    1,175.25/1,761.53 = 558.08/x
  3. Step 3: Cross multiply
    1,175.25x = 1,761.53 × 558.08
  4. Step 4: Simplify right side
    1,175.25x = 983,074.66
  5. Step 5: Solve for x
    x = 983,074.66/1,175.25
  6. Step 6: Final answer
    x = 836.48

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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.