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Finding the Fourth Proportional to 426.73, 591.37 and 421.51

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Solution

The fourth proportional to 426.73, 591.37 and 421.51 is: 584.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.73 : 591.37 = 421.51 : x
  2. Step 2: Convert to fraction form
    426.73/591.37 = 421.51/x
  3. Step 3: Cross multiply
    426.73x = 591.37 × 421.51
  4. Step 4: Simplify right side
    426.73x = 249,268.37
  5. Step 5: Solve for x
    x = 249,268.37/426.73
  6. Step 6: Final answer
    x = 584.14

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.