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Finding the Fourth Proportional to 675.09, 931.20 and 426.20

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Solution

The fourth proportional to 675.09, 931.20 and 426.20 is: 587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.09 : 931.20 = 426.20 : x
  2. Step 2: Convert to fraction form
    675.09/931.20 = 426.20/x
  3. Step 3: Cross multiply
    675.09x = 931.20 × 426.20
  4. Step 4: Simplify right side
    675.09x = 396,877.44
  5. Step 5: Solve for x
    x = 396,877.44/675.09
  6. Step 6: Final answer
    x = 587.89

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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.