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Finding the Fourth Proportional to 672.55, 927.92 and 407.09

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Solution

The fourth proportional to 672.55, 927.92 and 407.09 is: 561.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.55 : 927.92 = 407.09 : x
  2. Step 2: Convert to fraction form
    672.55/927.92 = 407.09/x
  3. Step 3: Cross multiply
    672.55x = 927.92 × 407.09
  4. Step 4: Simplify right side
    672.55x = 377,750.29
  5. Step 5: Solve for x
    x = 377,750.29/672.55
  6. Step 6: Final answer
    x = 561.67

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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.