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Finding the Fourth Proportional to 673.74, 927.72 and 575.28

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Solution

The fourth proportional to 673.74, 927.72 and 575.28 is: 792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.74 : 927.72 = 575.28 : x
  2. Step 2: Convert to fraction form
    673.74/927.72 = 575.28/x
  3. Step 3: Cross multiply
    673.74x = 927.72 × 575.28
  4. Step 4: Simplify right side
    673.74x = 533,698.76
  5. Step 5: Solve for x
    x = 533,698.76/673.74
  6. Step 6: Final answer
    x = 792.14

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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.