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Finding the Fourth Proportional to 582.88, 872.52 and 499.84

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Solution

The fourth proportional to 582.88, 872.52 and 499.84 is: 748.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.88 : 872.52 = 499.84 : x
  2. Step 2: Convert to fraction form
    582.88/872.52 = 499.84/x
  3. Step 3: Cross multiply
    582.88x = 872.52 × 499.84
  4. Step 4: Simplify right side
    582.88x = 436,120.40
  5. Step 5: Solve for x
    x = 436,120.40/582.88
  6. Step 6: Final answer
    x = 748.22

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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.