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Finding the Fourth Proportional to 602.77, 902.44 and 394.77

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Solution

The fourth proportional to 602.77, 902.44 and 394.77 is: 591.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.77 : 902.44 = 394.77 : x
  2. Step 2: Convert to fraction form
    602.77/902.44 = 394.77/x
  3. Step 3: Cross multiply
    602.77x = 902.44 × 394.77
  4. Step 4: Simplify right side
    602.77x = 356,257.51
  5. Step 5: Solve for x
    x = 356,257.51/602.77
  6. Step 6: Final answer
    x = 591.04

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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.