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Finding the Fourth Proportional to 551.56, 760.28 and 463

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Solution

The fourth proportional to 551.56, 760.28 and 463 is: 638.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.56 : 760.28 = 463 : x
  2. Step 2: Convert to fraction form
    551.56/760.28 = 463/x
  3. Step 3: Cross multiply
    551.56x = 760.28 × 463
  4. Step 4: Simplify right side
    551.56x = 352,009.64
  5. Step 5: Solve for x
    x = 352,009.64/551.56
  6. Step 6: Final answer
    x = 638.21

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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.