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Finding the Fourth Proportional to 420.21, 575.67 and 404.64

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Solution

The fourth proportional to 420.21, 575.67 and 404.64 is: 554.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.21 : 575.67 = 404.64 : x
  2. Step 2: Convert to fraction form
    420.21/575.67 = 404.64/x
  3. Step 3: Cross multiply
    420.21x = 575.67 × 404.64
  4. Step 4: Simplify right side
    420.21x = 232,939.11
  5. Step 5: Solve for x
    x = 232,939.11/420.21
  6. Step 6: Final answer
    x = 554.34

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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.