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Finding the Fourth Proportional to 578.76, 872.31 and 498.57

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Solution

The fourth proportional to 578.76, 872.31 and 498.57 is: 751.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.76 : 872.31 = 498.57 : x
  2. Step 2: Convert to fraction form
    578.76/872.31 = 498.57/x
  3. Step 3: Cross multiply
    578.76x = 872.31 × 498.57
  4. Step 4: Simplify right side
    578.76x = 434,907.60
  5. Step 5: Solve for x
    x = 434,907.60/578.76
  6. Step 6: Final answer
    x = 751.45

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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.