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Finding the Fourth Proportional to 583.29, 800.72 and 577.82

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Solution

The fourth proportional to 583.29, 800.72 and 577.82 is: 793.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.29 : 800.72 = 577.82 : x
  2. Step 2: Convert to fraction form
    583.29/800.72 = 577.82/x
  3. Step 3: Cross multiply
    583.29x = 800.72 × 577.82
  4. Step 4: Simplify right side
    583.29x = 462,672.03
  5. Step 5: Solve for x
    x = 462,672.03/583.29
  6. Step 6: Final answer
    x = 793.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.