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Finding the Fourth Proportional to 440.67, 657.35 and 407.97

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Solution

The fourth proportional to 440.67, 657.35 and 407.97 is: 608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.67 : 657.35 = 407.97 : x
  2. Step 2: Convert to fraction form
    440.67/657.35 = 407.97/x
  3. Step 3: Cross multiply
    440.67x = 657.35 × 407.97
  4. Step 4: Simplify right side
    440.67x = 268,178.57
  5. Step 5: Solve for x
    x = 268,178.57/440.67
  6. Step 6: Final answer
    x = 608.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.