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Finding the Fourth Proportional to 602.55, 902.97 and 328.10

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Solution

The fourth proportional to 602.55, 902.97 and 328.10 is: 491.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.55 : 902.97 = 328.10 : x
  2. Step 2: Convert to fraction form
    602.55/902.97 = 328.10/x
  3. Step 3: Cross multiply
    602.55x = 902.97 × 328.10
  4. Step 4: Simplify right side
    602.55x = 296,259.94
  5. Step 5: Solve for x
    x = 296,259.94/602.55
  6. Step 6: Final answer
    x = 491.68

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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.