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Finding the Fourth Proportional to 454.57, 680.62 and 356.55

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Solution

The fourth proportional to 454.57, 680.62 and 356.55 is: 533.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.57 : 680.62 = 356.55 : x
  2. Step 2: Convert to fraction form
    454.57/680.62 = 356.55/x
  3. Step 3: Cross multiply
    454.57x = 680.62 × 356.55
  4. Step 4: Simplify right side
    454.57x = 242,675.06
  5. Step 5: Solve for x
    x = 242,675.06/454.57
  6. Step 6: Final answer
    x = 533.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.