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Finding the Fourth Proportional to 673.44, 927.12 and 585.76

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Solution

The fourth proportional to 673.44, 927.12 and 585.76 is: 806.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.44 : 927.12 = 585.76 : x
  2. Step 2: Convert to fraction form
    673.44/927.12 = 585.76/x
  3. Step 3: Cross multiply
    673.44x = 927.12 × 585.76
  4. Step 4: Simplify right side
    673.44x = 543,069.81
  5. Step 5: Solve for x
    x = 543,069.81/673.44
  6. Step 6: Final answer
    x = 806.41

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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.