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Finding the Fourth Proportional to 675.07, 931.94 and 426.65

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Solution

The fourth proportional to 675.07, 931.94 and 426.65 is: 588.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.07 : 931.94 = 426.65 : x
  2. Step 2: Convert to fraction form
    675.07/931.94 = 426.65/x
  3. Step 3: Cross multiply
    675.07x = 931.94 × 426.65
  4. Step 4: Simplify right side
    675.07x = 397,607.01
  5. Step 5: Solve for x
    x = 397,607.01/675.07
  6. Step 6: Final answer
    x = 588.99

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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.