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Finding the Fourth Proportional to 602.39, 903.86 and 328.07

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Solution

The fourth proportional to 602.39, 903.86 and 328.07 is: 492.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.39 : 903.86 = 328.07 : x
  2. Step 2: Convert to fraction form
    602.39/903.86 = 328.07/x
  3. Step 3: Cross multiply
    602.39x = 903.86 × 328.07
  4. Step 4: Simplify right side
    602.39x = 296,529.35
  5. Step 5: Solve for x
    x = 296,529.35/602.39
  6. Step 6: Final answer
    x = 492.25

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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.