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Finding the Fourth Proportional to 426.11, 590.50 and 420.89

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Solution

The fourth proportional to 426.11, 590.50 and 420.89 is: 583.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.11 : 590.50 = 420.89 : x
  2. Step 2: Convert to fraction form
    426.11/590.50 = 420.89/x
  3. Step 3: Cross multiply
    426.11x = 590.50 × 420.89
  4. Step 4: Simplify right side
    426.11x = 248,533.12
  5. Step 5: Solve for x
    x = 248,533.12/426.11
  6. Step 6: Final answer
    x = 583.27

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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.