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Finding the Fourth Proportional to 603.12, 902.76 and 486.48

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Solution

The fourth proportional to 603.12, 902.76 and 486.48 is: 728.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.12 : 902.76 = 486.48 : x
  2. Step 2: Convert to fraction form
    603.12/902.76 = 486.48/x
  3. Step 3: Cross multiply
    603.12x = 902.76 × 486.48
  4. Step 4: Simplify right side
    603.12x = 439,174.68
  5. Step 5: Solve for x
    x = 439,174.68/603.12
  6. Step 6: Final answer
    x = 728.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.