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Finding the Fourth Proportional to 673.08, 927.90 and 507.48

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Solution

The fourth proportional to 673.08, 927.90 and 507.48 is: 699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.08 : 927.90 = 507.48 : x
  2. Step 2: Convert to fraction form
    673.08/927.90 = 507.48/x
  3. Step 3: Cross multiply
    673.08x = 927.90 × 507.48
  4. Step 4: Simplify right side
    673.08x = 470,890.69
  5. Step 5: Solve for x
    x = 470,890.69/673.08
  6. Step 6: Final answer
    x = 699.61

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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.