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Finding the Fourth Proportional to 585.73, 806.95 and 485.49

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Solution

The fourth proportional to 585.73, 806.95 and 485.49 is: 668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.73 : 806.95 = 485.49 : x
  2. Step 2: Convert to fraction form
    585.73/806.95 = 485.49/x
  3. Step 3: Cross multiply
    585.73x = 806.95 × 485.49
  4. Step 4: Simplify right side
    585.73x = 391,766.16
  5. Step 5: Solve for x
    x = 391,766.16/585.73
  6. Step 6: Final answer
    x = 668.85

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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.