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Finding the Fourth Proportional to 585.29, 872.84 and 577.44

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Solution

The fourth proportional to 585.29, 872.84 and 577.44 is: 861.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.29 : 872.84 = 577.44 : x
  2. Step 2: Convert to fraction form
    585.29/872.84 = 577.44/x
  3. Step 3: Cross multiply
    585.29x = 872.84 × 577.44
  4. Step 4: Simplify right side
    585.29x = 504,014.17
  5. Step 5: Solve for x
    x = 504,014.17/585.29
  6. Step 6: Final answer
    x = 861.14

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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.