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Finding the Fourth Proportional to 602.16, 905.97 and 358.86

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Solution

The fourth proportional to 602.16, 905.97 and 358.86 is: 539.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.16 : 905.97 = 358.86 : x
  2. Step 2: Convert to fraction form
    602.16/905.97 = 358.86/x
  3. Step 3: Cross multiply
    602.16x = 905.97 × 358.86
  4. Step 4: Simplify right side
    602.16x = 325,116.39
  5. Step 5: Solve for x
    x = 325,116.39/602.16
  6. Step 6: Final answer
    x = 539.92

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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.