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Finding the Fourth Proportional to 603.36, 905.76 and 398.40

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Solution

The fourth proportional to 603.36, 905.76 and 398.40 is: 598.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.36 : 905.76 = 398.40 : x
  2. Step 2: Convert to fraction form
    603.36/905.76 = 398.40/x
  3. Step 3: Cross multiply
    603.36x = 905.76 × 398.40
  4. Step 4: Simplify right side
    603.36x = 360,854.78
  5. Step 5: Solve for x
    x = 360,854.78/603.36
  6. Step 6: Final answer
    x = 598.08

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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.