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Finding the Fourth Proportional to 440.16, 656.40 and 404.73

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Solution

The fourth proportional to 440.16, 656.40 and 404.73 is: 603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    440.16 : 656.40 = 404.73 : x
  2. Step 2: Convert to fraction form
    440.16/656.40 = 404.73/x
  3. Step 3: Cross multiply
    440.16x = 656.40 × 404.73
  4. Step 4: Simplify right side
    440.16x = 265,664.77
  5. Step 5: Solve for x
    x = 265,664.77/440.16
  6. Step 6: Final answer
    x = 603.56

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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.