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Finding the Fourth Proportional to 584.92, 872.93 and 520.12

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Solution

The fourth proportional to 584.92, 872.93 and 520.12 is: 776.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.92 : 872.93 = 520.12 : x
  2. Step 2: Convert to fraction form
    584.92/872.93 = 520.12/x
  3. Step 3: Cross multiply
    584.92x = 872.93 × 520.12
  4. Step 4: Simplify right side
    584.92x = 454,028.35
  5. Step 5: Solve for x
    x = 454,028.35/584.92
  6. Step 6: Final answer
    x = 776.22

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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.