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Finding the Fourth Proportional to 603.88, 906.18 and 315.40

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Solution

The fourth proportional to 603.88, 906.18 and 315.40 is: 473.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.88 : 906.18 = 315.40 : x
  2. Step 2: Convert to fraction form
    603.88/906.18 = 315.40/x
  3. Step 3: Cross multiply
    603.88x = 906.18 × 315.40
  4. Step 4: Simplify right side
    603.88x = 285,809.17
  5. Step 5: Solve for x
    x = 285,809.17/603.88
  6. Step 6: Final answer
    x = 473.29

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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.