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Finding the Fourth Proportional to 458.18, 682.50 and 433.34

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Solution

The fourth proportional to 458.18, 682.50 and 433.34 is: 645.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.18 : 682.50 = 433.34 : x
  2. Step 2: Convert to fraction form
    458.18/682.50 = 433.34/x
  3. Step 3: Cross multiply
    458.18x = 682.50 × 433.34
  4. Step 4: Simplify right side
    458.18x = 295,754.55
  5. Step 5: Solve for x
    x = 295,754.55/458.18
  6. Step 6: Final answer
    x = 645.50

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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.