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Finding the Fourth Proportional to 603, 831.60 and 455.76

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Solution

The fourth proportional to 603, 831.60 and 455.76 is: 628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    603 : 831.60 = 455.76 : x
  2. Step 2: Convert to fraction form
    603/831.60 = 455.76/x
  3. Step 3: Cross multiply
    603x = 831.60 × 455.76
  4. Step 4: Simplify right side
    603x = 379,010.02
  5. Step 5: Solve for x
    x = 379,010.02/603
  6. Step 6: Final answer
    x = 628.54

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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.