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Finding the Fourth Proportional to 554.45, 828.16 and 463.25

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Solution

The fourth proportional to 554.45, 828.16 and 463.25 is: 691.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    554.45 : 828.16 = 463.25 : x
  2. Step 2: Convert to fraction form
    554.45/828.16 = 463.25/x
  3. Step 3: Cross multiply
    554.45x = 828.16 × 463.25
  4. Step 4: Simplify right side
    554.45x = 383,646.03
  5. Step 5: Solve for x
    x = 383,646.03/554.45
  6. Step 6: Final answer
    x = 691.95

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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.