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Finding the Fourth Proportional to 673.93, 927.69 and 580.98

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Solution

The fourth proportional to 673.93, 927.69 and 580.98 is: 799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.93 : 927.69 = 580.98 : x
  2. Step 2: Convert to fraction form
    673.93/927.69 = 580.98/x
  3. Step 3: Cross multiply
    673.93x = 927.69 × 580.98
  4. Step 4: Simplify right side
    673.93x = 538,970.64
  5. Step 5: Solve for x
    x = 538,970.64/673.93
  6. Step 6: Final answer
    x = 799.74

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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.