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Finding the Fourth Proportional to 902.35, 1,353.80 and 382.08

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Solution

The fourth proportional to 902.35, 1,353.80 and 382.08 is: 573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.35 : 1,353.80 = 382.08 : x
  2. Step 2: Convert to fraction form
    902.35/1,353.80 = 382.08/x
  3. Step 3: Cross multiply
    902.35x = 1,353.80 × 382.08
  4. Step 4: Simplify right side
    902.35x = 517,259.90
  5. Step 5: Solve for x
    x = 517,259.90/902.35
  6. Step 6: Final answer
    x = 573.24

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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.