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Finding the Fourth Proportional to 616.30, 850.53 and 354.36

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Solution

The fourth proportional to 616.30, 850.53 and 354.36 is: 489.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.30 : 850.53 = 354.36 : x
  2. Step 2: Convert to fraction form
    616.30/850.53 = 354.36/x
  3. Step 3: Cross multiply
    616.30x = 850.53 × 354.36
  4. Step 4: Simplify right side
    616.30x = 301,393.81
  5. Step 5: Solve for x
    x = 301,393.81/616.30
  6. Step 6: Final answer
    x = 489.04

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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.