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Finding the Fourth Proportional to 521.28, 776.74 and 463.84

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Solution

The fourth proportional to 521.28, 776.74 and 463.84 is: 691.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.28 : 776.74 = 463.84 : x
  2. Step 2: Convert to fraction form
    521.28/776.74 = 463.84/x
  3. Step 3: Cross multiply
    521.28x = 776.74 × 463.84
  4. Step 4: Simplify right side
    521.28x = 360,283.08
  5. Step 5: Solve for x
    x = 360,283.08/521.28
  6. Step 6: Final answer
    x = 691.15

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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.