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Finding the Fourth Proportional to 583.93, 871.57 and 505.50

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Solution

The fourth proportional to 583.93, 871.57 and 505.50 is: 754.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.93 : 871.57 = 505.50 : x
  2. Step 2: Convert to fraction form
    583.93/871.57 = 505.50/x
  3. Step 3: Cross multiply
    583.93x = 871.57 × 505.50
  4. Step 4: Simplify right side
    583.93x = 440,578.64
  5. Step 5: Solve for x
    x = 440,578.64/583.93
  6. Step 6: Final answer
    x = 754.51

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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.