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Finding the Fourth Proportional to 602.03, 902.25 and 294

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Solution

The fourth proportional to 602.03, 902.25 and 294 is: 440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.03 : 902.25 = 294 : x
  2. Step 2: Convert to fraction form
    602.03/902.25 = 294/x
  3. Step 3: Cross multiply
    602.03x = 902.25 × 294
  4. Step 4: Simplify right side
    602.03x = 265,261.50
  5. Step 5: Solve for x
    x = 265,261.50/602.03
  6. Step 6: Final answer
    x = 440.62

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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.