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Finding the Fourth Proportional to 583.92, 872.58 and 475.80

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Solution

The fourth proportional to 583.92, 872.58 and 475.80 is: 711.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.92 : 872.58 = 475.80 : x
  2. Step 2: Convert to fraction form
    583.92/872.58 = 475.80/x
  3. Step 3: Cross multiply
    583.92x = 872.58 × 475.80
  4. Step 4: Simplify right side
    583.92x = 415,173.56
  5. Step 5: Solve for x
    x = 415,173.56/583.92
  6. Step 6: Final answer
    x = 711.01

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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.