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Finding the Fourth Proportional to 603.34, 903.47 and 408.13

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Solution

The fourth proportional to 603.34, 903.47 and 408.13 is: 611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.34 : 903.47 = 408.13 : x
  2. Step 2: Convert to fraction form
    603.34/903.47 = 408.13/x
  3. Step 3: Cross multiply
    603.34x = 903.47 × 408.13
  4. Step 4: Simplify right side
    603.34x = 368,733.21
  5. Step 5: Solve for x
    x = 368,733.21/603.34
  6. Step 6: Final answer
    x = 611.15

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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.