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Finding the Fourth Proportional to 585.45, 878.69 and 456.28

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Solution

The fourth proportional to 585.45, 878.69 and 456.28 is: 684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.45 : 878.69 = 456.28 : x
  2. Step 2: Convert to fraction form
    585.45/878.69 = 456.28/x
  3. Step 3: Cross multiply
    585.45x = 878.69 × 456.28
  4. Step 4: Simplify right side
    585.45x = 400,922.00
  5. Step 5: Solve for x
    x = 400,922.00/585.45
  6. Step 6: Final answer
    x = 684.82

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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.