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Finding the Fourth Proportional to 603.60, 832.02 and 455.98

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Solution

The fourth proportional to 603.60, 832.02 and 455.98 is: 628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.60 : 832.02 = 455.98 : x
  2. Step 2: Convert to fraction form
    603.60/832.02 = 455.98/x
  3. Step 3: Cross multiply
    603.60x = 832.02 × 455.98
  4. Step 4: Simplify right side
    603.60x = 379,384.48
  5. Step 5: Solve for x
    x = 379,384.48/603.60
  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.