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Finding the Fourth Proportional to 603.03, 905.15 and 407.42

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Solution

The fourth proportional to 603.03, 905.15 and 407.42 is: 611.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.03 : 905.15 = 407.42 : x
  2. Step 2: Convert to fraction form
    603.03/905.15 = 407.42/x
  3. Step 3: Cross multiply
    603.03x = 905.15 × 407.42
  4. Step 4: Simplify right side
    603.03x = 368,772.71
  5. Step 5: Solve for x
    x = 368,772.71/603.03
  6. Step 6: Final answer
    x = 611.53

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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.