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Finding the Fourth Proportional to 582.68, 872.90 and 518.04

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Solution

The fourth proportional to 582.68, 872.90 and 518.04 is: 776.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.68 : 872.90 = 518.04 : x
  2. Step 2: Convert to fraction form
    582.68/872.90 = 518.04/x
  3. Step 3: Cross multiply
    582.68x = 872.90 × 518.04
  4. Step 4: Simplify right side
    582.68x = 452,197.12
  5. Step 5: Solve for x
    x = 452,197.12/582.68
  6. Step 6: Final answer
    x = 776.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.