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Finding the Fourth Proportional to 554.40, 827.32 and 493.04

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Solution

The fourth proportional to 554.40, 827.32 and 493.04 is: 735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.40 : 827.32 = 493.04 : x
  2. Step 2: Convert to fraction form
    554.40/827.32 = 493.04/x
  3. Step 3: Cross multiply
    554.40x = 827.32 × 493.04
  4. Step 4: Simplify right side
    554.40x = 407,901.85
  5. Step 5: Solve for x
    x = 407,901.85/554.40
  6. Step 6: Final answer
    x = 735.75

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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.