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Finding the Fourth Proportional to 585.56, 806.76 and 490.64

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Solution

The fourth proportional to 585.56, 806.76 and 490.64 is: 675.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.56 : 806.76 = 490.64 : x
  2. Step 2: Convert to fraction form
    585.56/806.76 = 490.64/x
  3. Step 3: Cross multiply
    585.56x = 806.76 × 490.64
  4. Step 4: Simplify right side
    585.56x = 395,828.73
  5. Step 5: Solve for x
    x = 395,828.73/585.56
  6. Step 6: Final answer
    x = 675.98

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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.