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Finding the Fourth Proportional to 421.52, 628.31 and 403.07

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Solution

The fourth proportional to 421.52, 628.31 and 403.07 is: 600.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.52 : 628.31 = 403.07 : x
  2. Step 2: Convert to fraction form
    421.52/628.31 = 403.07/x
  3. Step 3: Cross multiply
    421.52x = 628.31 × 403.07
  4. Step 4: Simplify right side
    421.52x = 253,250.78
  5. Step 5: Solve for x
    x = 253,250.78/421.52
  6. Step 6: Final answer
    x = 600.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.