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Finding the Fourth Proportional to 583.94, 871.90 and 514.92

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Solution

The fourth proportional to 583.94, 871.90 and 514.92 is: 768.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.94 : 871.90 = 514.92 : x
  2. Step 2: Convert to fraction form
    583.94/871.90 = 514.92/x
  3. Step 3: Cross multiply
    583.94x = 871.90 × 514.92
  4. Step 4: Simplify right side
    583.94x = 448,958.75
  5. Step 5: Solve for x
    x = 448,958.75/583.94
  6. Step 6: Final answer
    x = 768.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.