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Finding the Fourth Proportional to 578.88, 871.56 and 499.50

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Solution

The fourth proportional to 578.88, 871.56 and 499.50 is: 752.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.88 : 871.56 = 499.50 : x
  2. Step 2: Convert to fraction form
    578.88/871.56 = 499.50/x
  3. Step 3: Cross multiply
    578.88x = 871.56 × 499.50
  4. Step 4: Simplify right side
    578.88x = 435,344.22
  5. Step 5: Solve for x
    x = 435,344.22/578.88
  6. Step 6: Final answer
    x = 752.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.