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Finding the Fourth Proportional to 603.20, 905.31 and 430.29

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Solution

The fourth proportional to 603.20, 905.31 and 430.29 is: 645.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.20 : 905.31 = 430.29 : x
  2. Step 2: Convert to fraction form
    603.20/905.31 = 430.29/x
  3. Step 3: Cross multiply
    603.20x = 905.31 × 430.29
  4. Step 4: Simplify right side
    603.20x = 389,545.84
  5. Step 5: Solve for x
    x = 389,545.84/603.20
  6. Step 6: Final answer
    x = 645.80

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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.