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Finding the Fourth Proportional to 603.98, 905.02 and 457.02

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Solution

The fourth proportional to 603.98, 905.02 and 457.02 is: 684.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.98 : 905.02 = 457.02 : x
  2. Step 2: Convert to fraction form
    603.98/905.02 = 457.02/x
  3. Step 3: Cross multiply
    603.98x = 905.02 × 457.02
  4. Step 4: Simplify right side
    603.98x = 413,612.24
  5. Step 5: Solve for x
    x = 413,612.24/603.98
  6. Step 6: Final answer
    x = 684.81

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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.