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Finding the Fourth Proportional to 1,173.68, 1,759.98 and 558.08

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Solution

The fourth proportional to 1,173.68, 1,759.98 and 558.08 is: 836.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.68 : 1,759.98 = 558.08 : x
  2. Step 2: Convert to fraction form
    1,173.68/1,759.98 = 558.08/x
  3. Step 3: Cross multiply
    1,173.68x = 1,759.98 × 558.08
  4. Step 4: Simplify right side
    1,173.68x = 982,209.64
  5. Step 5: Solve for x
    x = 982,209.64/1,173.68
  6. Step 6: Final answer
    x = 836.86

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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.