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Finding the Fourth Proportional to 428.18, 585.81 and 426.36

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Solution

The fourth proportional to 428.18, 585.81 and 426.36 is: 583.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.18 : 585.81 = 426.36 : x
  2. Step 2: Convert to fraction form
    428.18/585.81 = 426.36/x
  3. Step 3: Cross multiply
    428.18x = 585.81 × 426.36
  4. Step 4: Simplify right side
    428.18x = 249,765.95
  5. Step 5: Solve for x
    x = 249,765.95/428.18
  6. Step 6: Final answer
    x = 583.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.