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Finding the Fourth Proportional to 457.03, 682.21 and 402.36

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Solution

The fourth proportional to 457.03, 682.21 and 402.36 is: 600.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.03 : 682.21 = 402.36 : x
  2. Step 2: Convert to fraction form
    457.03/682.21 = 402.36/x
  3. Step 3: Cross multiply
    457.03x = 682.21 × 402.36
  4. Step 4: Simplify right side
    457.03x = 274,494.02
  5. Step 5: Solve for x
    x = 274,494.02/457.03
  6. Step 6: Final answer
    x = 600.60

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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.