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Finding the Fourth Proportional to 675.59, 931.89 and 426.70

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Solution

The fourth proportional to 675.59, 931.89 and 426.70 is: 588.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    675.59 : 931.89 = 426.70 : x
  2. Step 2: Convert to fraction form
    675.59/931.89 = 426.70/x
  3. Step 3: Cross multiply
    675.59x = 931.89 × 426.70
  4. Step 4: Simplify right side
    675.59x = 397,637.46
  5. Step 5: Solve for x
    x = 397,637.46/675.59
  6. Step 6: Final answer
    x = 588.58

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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.