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Finding the Fourth Proportional to 578.33, 871.65 and 498.14

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Solution

The fourth proportional to 578.33, 871.65 and 498.14 is: 750.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.33 : 871.65 = 498.14 : x
  2. Step 2: Convert to fraction form
    578.33/871.65 = 498.14/x
  3. Step 3: Cross multiply
    578.33x = 871.65 × 498.14
  4. Step 4: Simplify right side
    578.33x = 434,199.37
  5. Step 5: Solve for x
    x = 434,199.37/578.33
  6. Step 6: Final answer
    x = 750.79

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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.