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Finding the Fourth Proportional to 435.40, 652.09 and 426.70

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Solution

The fourth proportional to 435.40, 652.09 and 426.70 is: 639.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.40 : 652.09 = 426.70 : x
  2. Step 2: Convert to fraction form
    435.40/652.09 = 426.70/x
  3. Step 3: Cross multiply
    435.40x = 652.09 × 426.70
  4. Step 4: Simplify right side
    435.40x = 278,244.67
  5. Step 5: Solve for x
    x = 278,244.67/435.40
  6. Step 6: Final answer
    x = 639.06

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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.