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Finding the Fourth Proportional to 554.20, 763.95 and 455.78

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Solution

The fourth proportional to 554.20, 763.95 and 455.78 is: 628.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.20 : 763.95 = 455.78 : x
  2. Step 2: Convert to fraction form
    554.20/763.95 = 455.78/x
  3. Step 3: Cross multiply
    554.20x = 763.95 × 455.78
  4. Step 4: Simplify right side
    554.20x = 348,193.13
  5. Step 5: Solve for x
    x = 348,193.13/554.20
  6. Step 6: Final answer
    x = 628.29

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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.