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Finding the Fourth Proportional to 585.53, 806.78 and 480.26

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Solution

The fourth proportional to 585.53, 806.78 and 480.26 is: 661.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.53 : 806.78 = 480.26 : x
  2. Step 2: Convert to fraction form
    585.53/806.78 = 480.26/x
  3. Step 3: Cross multiply
    585.53x = 806.78 × 480.26
  4. Step 4: Simplify right side
    585.53x = 387,457.73
  5. Step 5: Solve for x
    x = 387,457.73/585.53
  6. Step 6: Final answer
    x = 661.73

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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.