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Finding the Fourth Proportional to 603.15, 902.97 and 540.62

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Solution

The fourth proportional to 603.15, 902.97 and 540.62 is: 809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.15 : 902.97 = 540.62 : x
  2. Step 2: Convert to fraction form
    603.15/902.97 = 540.62/x
  3. Step 3: Cross multiply
    603.15x = 902.97 × 540.62
  4. Step 4: Simplify right side
    603.15x = 488,159.13
  5. Step 5: Solve for x
    x = 488,159.13/603.15
  6. Step 6: Final answer
    x = 809.35

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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.