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Finding the Fourth Proportional to 522.04, 778.94 and 463.27

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Solution

The fourth proportional to 522.04, 778.94 and 463.27 is: 691.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.04 : 778.94 = 463.27 : x
  2. Step 2: Convert to fraction form
    522.04/778.94 = 463.27/x
  3. Step 3: Cross multiply
    522.04x = 778.94 × 463.27
  4. Step 4: Simplify right side
    522.04x = 360,859.53
  5. Step 5: Solve for x
    x = 360,859.53/522.04
  6. Step 6: Final answer
    x = 691.25

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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.