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Finding the Fourth Proportional to 792.19, 1,185.94 and 585.39

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Solution

The fourth proportional to 792.19, 1,185.94 and 585.39 is: 876.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.19 : 1,185.94 = 585.39 : x
  2. Step 2: Convert to fraction form
    792.19/1,185.94 = 585.39/x
  3. Step 3: Cross multiply
    792.19x = 1,185.94 × 585.39
  4. Step 4: Simplify right side
    792.19x = 694,237.42
  5. Step 5: Solve for x
    x = 694,237.42/792.19
  6. Step 6: Final answer
    x = 876.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.