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Finding the Fourth Proportional to 648.15, 892.25 and 585.79

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Solution

The fourth proportional to 648.15, 892.25 and 585.79 is: 806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.15 : 892.25 = 585.79 : x
  2. Step 2: Convert to fraction form
    648.15/892.25 = 585.79/x
  3. Step 3: Cross multiply
    648.15x = 892.25 × 585.79
  4. Step 4: Simplify right side
    648.15x = 522,671.13
  5. Step 5: Solve for x
    x = 522,671.13/648.15
  6. Step 6: Final answer
    x = 806.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.