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Finding the Fourth Proportional to 554.95, 764.98 and 358.21

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Solution

The fourth proportional to 554.95, 764.98 and 358.21 is: 493.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.95 : 764.98 = 358.21 : x
  2. Step 2: Convert to fraction form
    554.95/764.98 = 358.21/x
  3. Step 3: Cross multiply
    554.95x = 764.98 × 358.21
  4. Step 4: Simplify right side
    554.95x = 274,023.49
  5. Step 5: Solve for x
    x = 274,023.49/554.95
  6. Step 6: Final answer
    x = 493.78

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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.