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Finding the Fourth Proportional to 455.48, 628.20 and 385.73

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Solution

The fourth proportional to 455.48, 628.20 and 385.73 is: 532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.48 : 628.20 = 385.73 : x
  2. Step 2: Convert to fraction form
    455.48/628.20 = 385.73/x
  3. Step 3: Cross multiply
    455.48x = 628.20 × 385.73
  4. Step 4: Simplify right side
    455.48x = 242,312.45
  5. Step 5: Solve for x
    x = 242,312.45/455.48
  6. Step 6: Final answer
    x = 532.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.