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Finding the Fourth Proportional to 616.02, 850 and 354.05

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Solution

The fourth proportional to 616.02, 850 and 354.05 is: 488.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.02 : 850 = 354.05 : x
  2. Step 2: Convert to fraction form
    616.02/850 = 354.05/x
  3. Step 3: Cross multiply
    616.02x = 850 × 354.05
  4. Step 4: Simplify right side
    616.02x = 300,942.50
  5. Step 5: Solve for x
    x = 300,942.50/616.02
  6. Step 6: Final answer
    x = 488.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.