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Finding the Fourth Proportional to 603.16, 905.28 and 407.68

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Solution

The fourth proportional to 603.16, 905.28 and 407.68 is: 611.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.16 : 905.28 = 407.68 : x
  2. Step 2: Convert to fraction form
    603.16/905.28 = 407.68/x
  3. Step 3: Cross multiply
    603.16x = 905.28 × 407.68
  4. Step 4: Simplify right side
    603.16x = 369,064.55
  5. Step 5: Solve for x
    x = 369,064.55/603.16
  6. Step 6: Final answer
    x = 611.88

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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.